Question

value: 2
solve for x.
z w
5x - 8
3x
v
2x + 10
y x
a. 10
b. 6
c. -4
d. 12

Explanation:

Step1: Set up the equation

In a parallelogram, the diagonals bisect each other. So we can set \(5x - 8=2x + 10\).

Step2: Move like - terms

Subtract \(2x\) from both sides: \(5x-2x - 8=2x-2x + 10\), which simplifies to \(3x-8 = 10\).

Step3: Isolate the variable

Add 8 to both sides: \(3x-8 + 8=10 + 8\), getting \(3x=18\).

Step4: Solve for x

Divide both sides by 3: \(\frac{3x}{3}=\frac{18}{3}\), so \(x = 6\).

Answer:

B. 6