Solve for y: 2y + 3 = 11.

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Multiple Choice

Solve for y: 2y + 3 = 11.

Explanation:
Solving a linear equation means isolating the variable by undoing the operations that were applied to it. For 2y + 3 = 11, first undo the addition by subtracting 3 from both sides, giving 2y = 8. Then undo the multiplication by dividing both sides by 2, so y = 4. Checking helps confirm: 2(4) + 3 = 8 + 3 = 11, which matches the right side. If you test other values—y = 2 gives 7, y = 3 gives 9, y = 5 gives 13—the left side wouldn’t equal 11.

Solving a linear equation means isolating the variable by undoing the operations that were applied to it. For 2y + 3 = 11, first undo the addition by subtracting 3 from both sides, giving 2y = 8. Then undo the multiplication by dividing both sides by 2, so y = 4. Checking helps confirm: 2(4) + 3 = 8 + 3 = 11, which matches the right side. If you test other values—y = 2 gives 7, y = 3 gives 9, y = 5 gives 13—the left side wouldn’t equal 11.

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