Question

Solve the following systems of linear equations by elimination y = 8 2x - 3y = -8

Answer 1

x = 8 and y = 8.

Explanation:

To solve the system of linear equations using the elimination method, we'll eliminate the variable "y" by substituting the given value of y into the second equation. Let's start:

Given equations:

y = 8

2x - 3y = -8

Substitute y = 8 into equation 2:

2x - 3(8) = -8

2x - 24 = -8

Next, we'll solve this equation for x:

2x - 24 = -8

2x = -8 + 24

2x = 16

x = 16/2

x = 8

Now that we have the value of x, we can substitute it back into equation 1 to find the value of y:

y = 8

So, y = 8

Therefore, the solution to the given system of equations is x = 8 and y = 8.

Answer 2

x = 8

y = 8

Explanation:

y = 8

2x - 3y = -8

We substitute 8 in for y and solve for x

2x - 3(8) = -8

2x - 24 = -8

2x = 16

x = 8

Let's Check the answer.

2(8) - 3(8) = -8

16 - 24 = -8

-8 = -8

So, x = 8 and y = 8 is the correct answer.