Question

solve the system of equations.
5x - 4y = -10

y = 2x - 5

x =

y =

Explanation:

Step1: Substitute \( y = 2x - 5 \) into \( 5x - 4y = -10 \)

Substitute \( y \) in the first equation: \( 5x - 4(2x - 5) = -10 \)

Step2: Simplify the equation

Expand the bracket: \( 5x - 8x + 20 = -10 \)
Combine like terms: \( -3x + 20 = -10 \)
Subtract 20 from both sides: \( -3x = -30 \)
Divide both sides by -3: \( x = 10 \)

Step3: Find \( y \) using \( y = 2x - 5 \)

Substitute \( x = 10 \) into \( y = 2x - 5 \): \( y = 2(10) - 5 = 15 \)

Answer:

\( x = 10 \)
\( y = 15 \)