Question:
Solve for \( y \): \( 2y - 7 = 3y + 4 \).
Solve for \( y \): \( 2y - 7 = 3y + 4 \).
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When solving linear equations, isolate the variable by performing inverse operations like addition/subtraction or multiplication/division.
Updated On: Oct 6, 2025
- \( -11 \)
- \( 11 \)
- \( -7 \)
- \( 7 \)
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The Correct Option is A
Solution and Explanation
Step 1: Subtract \( 2y \) from both sides:
\[
2y - 7 - 2y = 3y + 4 - 2y
\Rightarrow
-7 = y + 4. \] Step 2: Subtract 4 from both sides: \[ -7 - 4 = y + 4 - 4
\Rightarrow
y = -11. \]
\Rightarrow
-7 = y + 4. \] Step 2: Subtract 4 from both sides: \[ -7 - 4 = y + 4 - 4
\Rightarrow
y = -11. \]
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