SECTION 2-4 : SOLVING EQUATIONS WITH THE VARIABLE ON BOTH SIDES

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SECTION 2-4 : SOLVING EQUATIONS WITH THE VARIABLE ON BOTH SIDES ALGEBRA I - SECTION 2-4 (Solving Equations With the Variable on Both Sides) ALGEBRA I @ SECTION 2-4 : SOLVING EQUATIONS WITH THE VARIABLE ON BOTH SIDES

*Variable on one side, constant on the other. *-But, you know that.

Solve each equation. Check your answer. 1) 5s + 13 = 2s + 22 3) 2(3x + 1) = 4(x – 5) ANSWER : 3 ANSWER : -11 4) -8(-2a + 5) = 13 – 3(5a – 3) 2) y + 7 = 9y - 1 ANSWER : 1 ANSWER : 2

7) t + 8 = -(t – 6) + 2t 6) 5(x + 4) = x + 2(x + 3) ANSWER : no solutions ANSWER : -6 6) 5(x + 4) = x + 2(x + 3) 8) 8m + 2 = 2 – 3m + 11m ANSWER : -7 ANSWER : identity

If you are working an equation and the variable disappears, and the result is a …. true statement (0=0, 2=2, 10=10, etc.), the equation is an identity – all numbers work, or a false statement (0=3, -7=0, 3=4), the equation has no solutions

9) ANSWER : 1 10) -5(3x + 4) + 13x = 2(x – 5) ANSWER : no solutions