Question

what is the value of x in the equation 2x + 3y = 36, when y = 6?
○ 8
○ 9
○ 27
○ 36

Explanation:

Step1: Substitute y = 6 into the equation

Substitute \( y = 6 \) into \( 2x + 3y = 36 \), we get \( 2x + 3\times6 = 36 \).

Step2: Simplify the equation

Calculate \( 3\times6 = 18 \), so the equation becomes \( 2x + 18 = 36 \).

Step3: Solve for x

Subtract 18 from both sides: \( 2x = 36 - 18 = 18 \). Then divide both sides by 2: \( x = \frac{18}{2} = 9 \).

Answer:

9