Question
Solve the following equation for the variable by first simplifying each side of the equation and applying the addition property. \( 7 a-3-6 a=-5+9 \) \( a=\square \)
Ask by Garrett Boone. in the United States
Feb 21,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( a = 7 \)
Solution
Step 1: Simplify each side of the equation.
On the left side:
7a - 3 - 6a
Combine like terms (7a - 6a):
a - 3
On the right side:
-5 + 9
Combine the constants:
4
Now the equation becomes:
a - 3 = 4
Step 2: Isolate a using the addition property.
Add 3 to both sides of the equation:
a - 3 + 3 = 4 + 3
a = 7
Thus, a = □ becomes a = 7.
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Simplify this solution Mind Expander
To simplify the equation \( 7a - 3 - 6a = -5 + 9 \), start by combining like terms on both sides. On the left side: \( 7a - 6a = 1a \) or just \( a \), and for constants: \( -3 \) stays the same. Thus, we have: \[ a - 3 = -5 + 9. \] Now simplify the right side: \[ -5 + 9 = 4. \] So the equation now is: \[ a - 3 = 4. \] Using the addition property, add 3 to both sides: \[ a - 3 + 3 = 4 + 3 \] \[ a = 7. \] Thus, the solution is: \( a = 7 \).
