Solve for A, 4 (2a+3) = - 3 (a-1) + 31

Question

Mathematics

Julie Harvey

8 January, 20:58

Solve for A, 4 (2a+3) = - 3 (a-1) + 31

+3

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Alexandra Silva · Answer 1

4 (2a+3) = - 3 (a-1) + 31

Step 1: Simplify both sides of the equation. 4 (2a + 3) = - 3 (a-1) + 31 (4) (2a) + (4) (3) = (-3) (a) + (-3) (-1) + 31 (Distribute) 8a + 12 = - 3a + 3 + 31 8a + 12 = ( - 3a) + (3+31) (Combine Like Terms) 8a + 12 = - 3a + 34 8a + 12 = - 3a + 34 Step 2: Add 3a to both sides. 8a + 12 + 3a = - 3a + 34 + 3a 11a + 12 = 34 Step 3: Subtract 12 from both sides. 11a + 12 - 12 = 34-12 11a = 22 Step 4: Divide both sides by 11. 11a 1/1 = 22/11

the answer is a=2