−2a−9=6a+15 . Check your solution.
2 answers:
Answer:
a = -3
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
-2a - 9 = 6a + 15
<u>Step 2: Solve for </u><em><u>a</u></em>
- Add 2a on both sides: -9 = 8a + 15
- Subtract 15 on both sides: -24 = 8a
- Divide 8 on both sides: -3 = a
- Rewrite: a = -3
<u>Step 3: Check</u>
<em>Plug in a into the original equation to verify it is a solution.</em>
- Substitute in <em>a</em>: -2(-3) - 9 = 6(-3) + 15
- Multiply: 6 - 9 = -18 + 15
- Subtract/Add: -3 = -3
Here we see that -3 does indeed equal -3.
∴ a = -3 is a solution of the equation.
Answer:
−2a−9 = 6a+15
-2a-6a = 15+9
-8a = 24
a = -3
Checking:
-2·(-3) - 9 = 6·(-3) + 15
6 -9 = -18 +15
-3 = -3
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