Question

What is the solution of the system of equations? y = –2x + 8 y = x – 4

Answer 1

Answer:

(4,0)

Step-by-step explanation:

So we have the system of equations:

$y=-2x+8\\y=x-4$

To solve, we can use substitution.

Substitute the second equation into the first. So:

$x-4=-2x+8$

Add 2x to both sides. The right cancels:

$3x-4=8$

Add 4 to both sides:

$3x=12$

Divide both sides by 3:

$x=4$

Now, let's substitute this back into the second equation to find y:

$y=x-4$

Substitute 4 for x:

$y=4-4$

Subtract:

$y=0$

So, our solution is (4,0).

And we're done!