For the following system of equations what is the x-value of the solution -x + 2y = 6; 6y = x + 18

Solutions:

Given set of equations -x + 2y = 6; 6y = x + 18

In order to eliminate one variable, we need to perform addition or subtraction of the equations

Let -x + 2y = 6 --- [a]

Let 6y = x + 18 --- [b]

Rearrange equation [b] like -x + 6y = 18

Now subtract eq[b] from [a]

⇒ (-x + 2y) - (-x + 6y) = (6 - 18)

⇒ -x + 2y + x - 6y = -12

⇒ -4y = -12

⇒ 4y = 12

⇒ y = 3

Put y = 3 in eq[a], we get -x + 2(3) = 6

⇒ -x + 6 = 6

⇒ x = 0

Therefore, the value of x is 0.

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For the following system of equations what is the x-value of the solution -x + 2y = 6; 6y = x + 18

Summary:

For the following system of equations, the x-value of the solution -x + 2y = 6; 6y = x + 18 is zero.