Question
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Tutor-Verified Answer
Answer
\( y=3 \)
Solution
Solve the equation \( 7y-3=4y+6 \).
Solve the equation by following steps:
- step0: Solve for \(y\):
\(7y-3=4y+6\)
- step1: Move the expression to the left side:
\(7y-4y=6+3\)
- step2: Add and subtract:
\(3y=6+3\)
- step3: Add and subtract:
\(3y=9\)
- step4: Divide both sides:
\(\frac{3y}{3}=\frac{9}{3}\)
- step5: Divide the numbers:
\(y=3\)
The solution to the equation \(7y-3=4y+6\) is \(y=3\).
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Simplify this solution Beyond the Answer
To solve the equation \( 7y - 3 = 4y + 6 \), you'll start by isolating the variable \( y \). First, subtract \( 4y \) from both sides: \[ 7y - 4y - 3 = 6 \] This simplifies to: \[ 3y - 3 = 6 \] Next, add 3 to both sides: \[ 3y = 9 \] Finally, divide both sides by 3 to find \( y \): \[ y = 3 \] So, the solution is \( y = 3 \). Now, it's always good to check your answer! Substitute \( y \) back into the original equation: \[ 7(3) - 3 = 4(3) + 6 \] That is: \[ 21 - 3 = 12 + 6 \] Which simplifies to \( 18 = 18 \). So, the answer checks out!
