Pinellas County Schools GRADE 8 PRE-ALGEBRA Unit 5; Solving Equations & Inequalities Question Joshua has solved an equation from his homework by using 4 steps in which step did Joshua make mistake? 1 Original Equation: (4x + 2) + 3(--2x + 5) = 25 a. Step 1: 4x + 2 - 6x + 15 = 25 b. Step 2: - 2x + 17 = 25 Step 3: -2x = 8 d. Step 4: 2 Solve for the unknown variable:

(- 19, 55 )

Step-by-step explanation:

Given the 2 equations

y = - 3x - 2 → (1)

5x + 2y = 15 → (2)

Substitute y = - 3x - 2 into (2)

5x + 2(- 3x - 2) = 15 ← distribute and simplify left side

5x - 6x - 4 = 15

- x - 4 = 15 ( add 4 to both sides )

- x = 19 ( multiply both sides by - 1 )

x = - 19

Substitute x = - 19 into (1) for corresponding value of y

y = - 3(- 19) - 2 = 57 - 2 = 55

Solution is (- 19, 55 )