# Solving Equations with 10 3 Variables on Both

Solving Equations with 10 -3 Variables on Both Sides Solving Equations with Variables on Both Sides Pre-Algebra

Solving Equations with 10 -3 Variables on Both Sides To solve multistep equations with variables on both sides: 1. First combine like terms. 2. Then add or subtract variable terms to both sides so that the variable occurs on only one side of the equation. 3. Then use properties of equality to isolate the variable. Pre-Algebra

Solving Equations with 10 -3 Variables on Both Sides Example 1: Solve. A. 4 x + 6 = x – 4 x 6 = – 3 x – 3 – 2 = x Pre-Algebra Subtract 4 x from both sides. Divide both sides by – 3.

Solving Equations with 10 -3 Variables on Both Sides Example 2: Solve. B. 9 b – 6 = 5 b + 18 – 5 b Subtract 5 b from both sides. 4 b – 6 = 18 +6 +6 4 b = 24 4 4 b=6 Pre-Algebra Add 6 to both sides. Divide both sides by 4.

Solving Equations with 10 -3 Variables on Both Sides Example 3: Solve. C. 9 w + 3 – 7 w = 5 w + 7 + 2 w = 7 w + 7 Combine like terms. – 7 w Subtract 7 w from both sides. 2 w + 3 = 7 – 3 2 w = 4 w= 2 Pre-Algebra Subtract 3 from both sides. Divide by 2 on both sides.

Solving Equations with 10 -3 Variables on Both Sides Example 4: Solve. A. 10 z – 15 – 4 z = 8 – 2 z – 6 z – 15 = – 2 z – 7 + 2 z 8 z – 15 + 15 8 z 8 z 8 z Pre-Algebra = =8 8 =1 15 15 Combine like terms. Add 2 z to both sides. – 7 +15 Add 15 to both sides. Divide both sides by 8.

Solving Equations with 10 -3 Variables on Both Sides Xavier & Jonathon have the same number of super hero action figures in their collections. Xavier has 5 complete sets and 4 individual figures. Jonathon has 3 complete sets and 14 individual figures. How many figures make up a complete set? Let x equal the number of figures in a complete set. 5 x + 4 = 3 x + 14 Now solve… Pre-Algebra

Solving Equations with 10 -3 Variables on Both Sides 5 x + 4 = 3 x + 14 – 3 x 2 x + 4 = 14 – 4 2 x = 10 2 2 x=5 Pre-Algebra Subtract 3 x from both sides. Subtract 4 from both sides. Divide both sides by 2. Each complete set has 5 super hero action figures.

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