Question

solving equations with the distributive property - item 1041
question
what is the value of ▲ in the equation shown?
7 × 9 = (7 × 10) − (7 × ▲)

Explanation:

Step1: Simplify left side

Calculate \(7\times9 = 63\).

Step2: Simplify right side

Let \( \triangle = x \), then right side is \(7\times10 - 7\times x=70 - 7x\).

Step3: Solve for x

Set equation: \(63 = 70 - 7x\).
Add \(7x\) to both sides: \(63 + 7x = 70\).
Subtract 63: \(7x = 70 - 63 = 7\).
Divide by 7: \(x = 1\).

Answer:

1