Question

Wayne is solving a system of linear equations.

y = −3/4x + 5
x = −2

To solve this system, he graphed the line y = −3/4x + 5y .

When Wayne graphs the line x = −2, at which point will he find the solution of this system of linear equations? thnx

Answer 1

y= -3/4(-2)+5
y=13/2 or 6.5
the answer is (-2,6.5)

Answer 2

Answer:

(-2, 6.5)

Step-by-step explanation:

I think there's an error in the formula of the first line, it should be y = −3/4x + 5.

We need to find the intersection between y = −3/4x + 5 and x = -2

For that, we just have to replace the x of the first equation with -2:

y = −3/4x + 5

y = −3/4*(-2) + 5

y = 3/2 + 5  

y = 13/2 = 6.5

So, the solution of the system is x = -2, y = 6.5

That's the point (-2, 6.5)