Question

What is the x value for the solution -x+2y=6 6y =x+18

Answer 1

For the given set of equations, x = 0 and y = 3.

Step-by-step explanation:

Step 1:

From the question,

$-x + 2y = 6$, take this as equation 1,

$6y =x+18, x - 6y = -18$, take this as equation 2.

Step 2:

When we add equation 1 and equation 2, the x variable is canceled out and y can be calculated.

$-4y = -12, y = \frac{-12}{-4}, y = 3.$

Step 3:

Substituting this value of y in any of the previous equations we will get x's value.

Here this value of y i.e y = 3 is substituted in equation 1.

$-x + 6 = 6, -x = 6 -6, -x=0, x=0.$

So we have x = 0 and y = 3.