Question

3x 4y - 10 x = 14

Explanation:

Step1: Substitute \(x = 14\) into \(3x\)

Since \(x = 14\), then \(3x=3\times14 = 42\)

Step2: Set \(4y - 10\) equal to \(3x\) (because of the property of corresponding angles for parallel lines cut by a transversal)

We know \(3x=4y - 10\), substituting \(3x = 42\) gives \(42=4y-10\)

Step3: Solve the equation \(42 = 4y-10\) for \(y\)

Add \(10\) to both sides: \(42 + 10=4y\), so \(52 = 4y\)
Divide both sides by \(4\): \(y=\frac{52}{4}=13\)

Answer:

\(y = 13\)