Question

name: data: 12/8/2025 hour: 1 2 4 two step equations quiz random answers: 12 -11 10 -2 11 -8 solve the two - step equations below. remember: 1) find the variable 2) find the constant and undo addition or subtraction 3) then undo multiplication or division. 1. \\(\frac{r}{10} + 4 = 5\\) 2. \\(\frac{x}{-4} - 5 = -8\\)

Explanation:

Problem 1: Solve \(\boldsymbol{\frac{r}{10}+4 = 5}\)

Step 1: Undo addition

Subtract 4 from both sides: \(\frac{r}{10}+4 - 4=5 - 4\)
Simplifies to: \(\frac{r}{10}=1\)

Step 2: Undo division

Multiply both sides by 10: \(\frac{r}{10}\times10 = 1\times10\)
Simplifies to: \(r = 10\)

Problem 2: Solve \(\boldsymbol{\frac{x}{-4}-5=-8}\)

Step 1: Undo subtraction

Add 5 to both sides: \(\frac{x}{-4}-5 + 5=-8 + 5\)
Simplifies to: \(\frac{x}{-4}=-3\)

Step 2: Undo division

Multiply both sides by \(-4\): \(\frac{x}{-4}\times(-4)=-3\times(-4)\)
Simplifies to: \(x = 12\)

Answer:

s:

1. \(r = 10\)
2. \(x = 12\)