Question

Just number 3 is fine please but if you could also 4​

Answer 1

3. r = -8

4. x = -5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Equality Properties

Explanation:

Step 1: Define equation

2(-5r + 2) = 84

Step 2: Solve for r

1. Divide 2 on both sides: -5r + 2 = 42
2. Subtract 2 on both sides: -5r = 40
3. Divide -5 on both sides: r = -8

Step 3: Check

Plug in r into the original equation to verify it's a solution.

1. Substitute in r: 2(-5(-8) + 2) = 84
2. Multiply: 2(40 + 2) = 84
3. Add: 2(42) = 84
4. Multiply: 84 = 84

Here we see that 84 does indeed equal 84.

∴ r = -8 is a solution of the equation.

Step 4: Define equation

264 = -8(-8 + 5x)

Step 5: Solve for x

1. Divide both sides by -8: -33 = -8 + 5x
2. Add 8 to both sides: -25 = 5x
3. Divide 5 on both sides: -5 = x
4. Rewrite: x = -5

Step 6: Check

Plug in x into the original equation to verify it's a solution.

1. Substitute in x: 264 = -8(-8 + 5(-5))
2. Multiply: 264 = -8(-8 - 25)
3. Subtract: 264 = -8(-33)
4. Multiply: 264 = 264

Here we see that 264 does indeed equal 264.

∴ x = -5 is a solution of the equation.