Question

5x - 4y = 1
x = 7y - 6
answer attempt 1 out of 5
(□,□) submit answer

Explanation:

Step1: Substitute \( x = 7y - 6 \) into \( 5x - 4y = 1 \)

Substitute \( x \) in the first equation: \( 5(7y - 6) - 4y = 1 \)

Step2: Expand and simplify the equation

Expand: \( 35y - 30 - 4y = 1 \)
Combine like terms: \( 31y - 30 = 1 \)

Step3: Solve for \( y \)

Add 30 to both sides: \( 31y = 31 \)
Divide by 31: \( y = 1 \)

Step4: Substitute \( y = 1 \) back into \( x = 7y - 6 \)

\( x = 7(1) - 6 = 1 \)

Answer:

\((1, 1)\)