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and check your answers: (2) \( 7 y-3=4 y+6 \)

Ask by Bond Hodgson. in South Africa
Feb 20,2025

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\( y=3 \)

Solución

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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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!

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