Question

what is the value of x in the equation $8x - 2y = 48$, when $y = 4$?
○ 6
○ 7
○ 14
○ 48

Explanation:

Step1: Substitute y = 4 into the equation

We have the equation \(8x - 2y = 48\). Substitute \(y = 4\) into it, so we get \(8x - 2\times4 = 48\).

Step2: Simplify the equation

Calculate \(2\times4 = 8\), then the equation becomes \(8x - 8 = 48\). Add 8 to both sides of the equation: \(8x - 8 + 8 = 48 + 8\), which simplifies to \(8x = 56\).

Step3: Solve for x

Divide both sides of the equation \(8x = 56\) by 8: \(x=\frac{56}{8}=7\).

Answer:

7