Solve each system by substitution.
y=5x-7
-3x-2y=-12
Type in your solution (x,y)

Answers

Answer 1

[tex] \huge \color{pink} \boxed{AnSwEr \: ♧}[/tex]

Step-by-step explanation:

[tex]\\ \\ \large \color{blue}{Given \: Question↣} \pink{Solve \: by \: substitution \: method} \\ \\ \pink{two \: equations \: given↣y = 5x - 7; - 3x - 2y = - 12} \\ \\ \large \color{blue} {lets \: solve : - } \\ \\ \large \sf \green{we \: know \: that \: y = 5x - 7} \\ \\ \large \sf \green{putting \: y = 5x - 7 \: in \: equation( - 3x - 2y = - 12)} \\ \\ \large \red{ ⇒} \large \sf \green{ \: - 3x - 2(5x - 7) = - 12} \\ \\ \large \red{ ⇒} \large \sf \green{- 3x - 10x + 14 = - 12} \\ \\\large \red{ ⇒} \large \sf \green{arranging \: terms} \\ \\ \large \red{ ⇒} \large \sf \green{ - 3x - 10x = - 12 - 14} \\ \\ \large \red{ ⇒} \large \sf \green{ - 13 x = - 26} \\ \\ \large \red{ ⇒} \large \sf \green{x = \cancel \frac{ - 26}{ - 13} } \\ \\ \large \red{ ⇒} \large \sf \green{x = 2} \green {(soo \: x = 2)}\\ \\ \large \sf\pink{now \: putting \: x = 2 \: in \: equation \: y = 5x - 7} \\ \\ \\ \\ \large \red{ ⇒} \large \sf \green{y = 5(2) - 7}\\ \\ \large \red{ ⇒} \large \sf \green{y = 10 - 7}\\ \\ \large \red{ ⇒} \large \sf \green{y=3} \\ \\ \\ \huge \color{pink}\frak {hence \: x = 2 \: nd \: y = 3}[/tex]

[tex]\\\\[/tex]

[tex]\large\color{cyan}{\boxed{\mathfrak{❥\:Glossy\:Pearl}}}[/tex]


Related Questions

How many solutions are there for the system of equations shown on the graph?

1)No solution
2)One solution
3)Two solutions
4)Infinitely many solutions

Answers

3) two solutions hope this helps

Answer:

The answer is 1) aka no solution

Step-by-step explanation:

The perimeter of an isosceles triangle is 36 centimeters and two sides of the triangle are in the ratio $2:5.$ What is the number of centimeters in the length of the longest side

Answers

since isosceles has 2 equal sides we can add two to the shorter side

so now we multiply by 4

8 for short sides each

20 for long side

The longest side of the isosceles triangle is 20 units.


What is an isosceles triangle?

An isosceles triangle in geometry is a triangle with two equal-length sides. It can be specified as having exactly two equal-length sides or at least two equal-length sides, with the latter definition including the equilateral triangle as an exception.

Given that the perimeter of an isosceles triangle is 36 centimetres and two sides of the triangle are in the ratio $2:5.$.

The length of the longest side will be calculated as;-

2S + B = 36

S / B = 2 / 5
S = ( 2B ) / 5

2 x ( 2B ) / 5 + B = 36

4B + 5B = 180

9B = 180

B = 20 units

The measure of the other side is,

S = 2B / 5

S = ( 2 x 20 ) / 5 = 8 units

Hence, the length of the longest side is 20 units.

To know more about an isosceles triangle follow

https://brainly.com/question/26131061

#SPJ6

Select all the correct answers.
The distance from Earth to the moon is 384,400 kilometers. What is this distance expressed in scientific notation?
3.844E5 kilometers
3.844 × 105 kilometers
3.844E-5 kilometers
3.844E-6 kilometers
3.844 × 106 kilometers
3.844E6 kilometers
3.844 × 10-6 kilometers
3.844 × 10-5 kilometers

Answers

Answer:

3.844 x 10^5

3.844E-5

3.844 × 10-5 kilometers

Step-by-step explanation:

Order the numbers from least to greatest
2.26
2 2/5
26.8%
2.62
271%

Answers

2.26 > 2 2/5 > 2.62 > 26.8 > 271

how do i calculate the original number from a percentage?

Answers

Answer:

shift the decimal point to the left two places.

Step-by-step explanation:

Example:

25%

=0.025

The product $ab = 1200$, $a$ is an integer, and $b$ is an odd integer. What is the largest possible value of $b$?.

Answers

ANSWER:

Largest possible value of b is:

75

Step-by-step explanation:

we are given that:

ab=1200

where a is an integer and b is an odd integer.

we know that product of odd numbers is always odd.

Now, 1200= 12×100

               = 2×6×10×10

              =2×2×3×2×5×2×5

It cannot be factorized further

Now, considering the product of all odd numbers

=3×5×5

=75

Now, if we multiply any other remaining number from the factorization of 1200, we will get a even number

Hence, The largest possible value of b is:

75

Juan is making a delivery to a store. The total trip will be 450 miles. He is driving at a constant rate of 60 miles per hour. He has already driven 30 miles. How
much longer will it take him to get to the store?

Answers

60x + 30 = 450 when solved, it will take Juan 7 hours to get to the store.

1. Point G(6,-3) is translated 5 units to the left and 6 units up to form the point G'. What are the coordinates of G'?​

Answers

Answer:

(11,3)

Step-by-step explanation:

point x: 6+5=11
point y: -3+6=3

The equation $y = -16t^2 + 28t + 144$ describes the height (in feet) of a ball tossed up in the air at $28$ feet per second from a height of $144$ feet from the ground. In how many seconds will the ball hit the ground?

Answers

stuff stuff and other stuff

What is the next fraction in this sequence? Simplify your answer. 1 /88 , 1 /44 , 1 /22 , 1 /11 , ...

Answers

1/1.1 and 1/0.11 and so on

PLEASE HELP W THIS!!

Answers

Answer:

o<t<11 seconds

Step-by-step explanation:

See attached.

256 heartbeats in 4 minutes

Answers

Answer:

64 beats per minute

Step-by-step explanation:

256 divided by 4

A number cube with sides marked with
the numbers 1 through 6 is tossed on a
table. What is the probability that the
number obtained will be an even
number?
A. 1 in 6
B. 2 in 6
C. 1 in 2
D. 2 in 3

Answers

Answer:

C. 1 in 2

Step-by-step explanation:

even numbers are 0, 2, 4, 6 etc.
the even numbers in a number cube are
2, 4, 6
so there is 3 possible results
all the numbers in the number cube are 6 numbers
so it is 3/6 times we can get an even number
by simplifying 3/6 (dividing by 3) we get 1/2

Q.2 The lengths of a triangle are 7 cm, 8 cm and 10 cm correct to the nearest cm. Work out maximum possible perimeter of the triangle.

Answers

Step-by-step explanation:

7+8+10=25cm is the possibile perimeter of this

triangle.

A college loan is $30,000.
There is an interest rate of 4% on the loan.
What is the interest owed?

A. $1.200
B. $120,000
C. $120
D. $12,000

Will give brainliest!!!

Answers

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{4\% of 30000}}{\left( \cfrac{4}{100} \right)30000}\implies 1200[/tex]

Please help meeeee for 10 points

Answers

Answer:

A:4/5

Step-by-step explanation:

plug in the numbers into their respective variables and get
4/(3+2)

Add 3 and 2 and final answer is

4/5

What is the solution to this inequality?
7x + 18 > -3
x > 3
X > -3
x < 3
X <-3
-

Answers

Answer:

x > -3

Step-by-step Solution:

Simplify by subtracting 18 both sides

7x + 18 > -3=> 7x + 18 - 18 > -3 - 18=> 7x > -21=> x > -3

Hence, the solution to the inequality is x > -3.

Johann and Marta shopped at a vintage toy store. Johann bought 3 blue marbles and 5 green marbles and paid $11. Marta bought 4 blue marbles and 2 green marbles and paid $10. Which system of equations can be used to find the prices of the blue and green marbles? 3 x 5 y = 10. 4 x 2 y = 11. 3 x 5 y = 11. 4 x 2 y = 10. 5 x 3 y = 10. 4 x 2 y = 11. 5 x 3 y = 11. 4 x 2 y = 10.

Answers

Answer:

B. 3x+5y=11

   4x+2y=10

On Edge 2022

Hope this Helps :)

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

The system of equations can be used to find the prices of the blue and green marbles are,

[tex]3x+5y=11[/tex]

[tex]4x+2y=10[/tex]

Thus the option 2 is the correct option.

What is system of equation?

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

Given information-

Johann bought 3 blue marbles and 5 green marbles.

The total money paid by the Johann is $11.

Marta bought 4 blue marbles and 2 green marbles.

The total money paid by the Marta is $10.

Suppose the price of the blue marbles is [tex]x[/tex] and price of the green marbles is [tex]y[/tex].

As Johann bought 3 blue marbles and 5 green marbles and paid $11. Thus,

[tex]3x+5y=11[/tex]      .....1

Let the above equation is equation number 1.

As Marta bought 4 blue marbles and 2 green marbles and paid $10. Thus,

[tex]4x+2y=10[/tex]      .....2

Let the above equation is equation number 2.

Thus the equation 1 and 2 are the required set of the equation for the given problem.

Hence the system of equations can be used to find the prices of the blue and green marbles are,

[tex]3x+5y=11[/tex]

[tex]4x+2y=10[/tex]

Thus the option 2 is the correct option.

Learn more about the system of equations  here;

https://brainly.com/question/13729904

How many terms dose 4x + 8y -1

Answers

3 terms 4x,8y and -1

Answer:

It has 3 terms

What is 1/5 of £ 40?
Give your answer in pounds (£).

Answers

Answer:

£ 8

Step-by-step explanation:

basic equation:

£40 * 1/5

£ 40/5

£ 8

∵ £ 8 is the 1/5 of £ 40

Answer:

We need to find the 1/5 value of £40.We can find the value by multiplying 1/5 by £40.

Solution:

[tex] = \frac{1}{ \cancel5} \times \cancel{40} \: {}^{8} £[/tex]

[tex] = 1 \times 8£[/tex]

[tex] = 8£[/tex]

please please help 100 points

Answers

We're given

[tex]\displaystyle \int_4^{-10} g(x) \, dx = -3[/tex]

which immediately tells us that

[tex]\displaystyle \int_{-10}^4 g(x) \, dx = 3[/tex]

In other words, swapping the limits of the integral negates its value.

Also,

[tex]\displaystyle \int_4^6 g(x) \, dx = 5[/tex]

The integral we want to compute is

[tex]\displaystyle \int_{-10}^6 g(x) \, dx[/tex]

which we can do by splitting up the integral at x = 4 and using the known values above. Then the integral we want is

[tex]\displaystyle \int_{-10}^6 g(x) \, dx = \int_{-10}^4 g(x) \, dx + \int_4^6 g(x) \, dx = 3 + 5 = \boxed{8}[/tex]

I have no clue how to solve this.

Answers

Answer: 36.6

Step-by-step explanation: 2x+1+3x-4=180

add 2 & 3 to get 5x

subtract 1 from 1 & 180
so u would have 5x-4=179

+4 to 179

then 5x=183

divide by 5

x=36.6

hope it helps

Find the x-intercepts of the parabola with
vertex (-4,12) and y-intercept (0,-36).
If necessary, round to the nearest hundredth.

Answers

Answer:

(8.33) , (236.67)

Step-by-step explanation:

i think tell me if im wrong

The area of the parallelogram is 11 1/4 feet. Find the height.

Answers

Answer:

h = 5/2 or 2 1/2

Step-by-step explanation:

The formula to calculate the area of a parallelogram is given as Area of parallelogram = base × height square units

so A = bh

11 1/4 = 4 1/2(h)

h = 11 1/4/4 1/2

h = (45/4)/(9/2)

h = 5/2 = 2 1/2

Find the QT plzzzzzzz

Answers

Step-by-step explanation:

I didn't write language hope u get it

In the figure, a || b. What is the value of x?

Answers

Answer:

x=40

Step-by-step explanation:

Looking at this problem, we can see that 3x+9=129

Subtract 9 on both sides:

3x=120

Divide by 3 on both sides:

x=40

The value of a painting bought for $3,800 increases 2.6% each year. Use a graph to predict the value of the painting in 5 years.

Answers

The value of the painting in 5 years is $4,320.36

Expoential functions

The standard exponential function is expressed as:

A = P(1+r)^t

Given the following

P = $3800r = 2.6% = 0.026t = 5 years

Substitute into the formula

A = 3800(1+0.026)^5
A = 3800(1.026)^5
A = 4,320.36

Hence the value of the painting in 5 years is $4,320.36

Learn more on exponential function here: https://brainly.com/question/12940982


Write the equation of the line that is parallel to
the line y = -x + 2 and goes through the point
(-6,8)

Answers

Answer:

y = -x + 2

Step-by-step explanation:

Lines that are parallel have the same slope but different

y-intercepts.

So the slope of the parallel line is -x

We can input the x and y points given to solve for the new y-intercept

y = -x + b8 = -(-6) + b8 = 6 + bb = 2

The new line is y = -x + 2. Since these two lines are the same, they are coinciding lines.

-Chetan K

Answer:

y = - x + 2

Step-by-step explanation:

We can use the below formula to find the equation of a line.

y = m x + c

Here,

m ⇒ slope

c ⇒ y - intercept

We know that , if two lines are parallel to each other, it means that the slopes of two lines are also equal.Therefore, according to the question we have to find the y - intercept in order to write the equation of the line.For that, you can use the given coordinate of the new line.Also, as the two lines are parallel, the slope of the new line is (-1 ).

Let us solve now.

( -6 , 8 ) ⇒ ( x , y )

y = m x + c

8 = -1 × -6 + c

8 = 6 + c

8 - 6 = c

2 = c

And now let us write the equation of the line.

y = m x + c

y = - x + 2

Hope this helps you :-)

Let me know if you have any other questions :-)

A data set is displayed in the dot plot shown,
0 1 2 3 4
5
6 7 8 9 10 11 12 13 14 15 16
What is the mean of the data set . HELPPP

Answers

By adding all of them and then dividing by the quantity 136/17= 8

Seven more than twice a number is equal to 25. Which of the following is the number? Use
algebra to find your answer and show your work.

(1) 7
(3) 12
(2) 9
(4) 15

ANY HELP IS APPRRECATED

Answers

Answer:

the answer is 9

Step-by-step explanation:

when doubled 9 is 18

18+7=25

Answer:

9

Step-by-step explanation:

9+9=18 18-9=9 9×2=18 18÷9=2 18÷2=9

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