Question

what is the solution to the system of equations?
y = 2x - 3.5
x - 2y = -14
(10.5, 7) (7, 10.5) (3.5, -7) (-7, 3.5)

Explanation:

Step1: Substitute \( y = 2x - 3.5 \) into \( x - 2y = -14 \)

Substitute \( y \) in the second equation: \( x - 2(2x - 3.5) = -14 \)

Step2: Simplify the equation

Expand: \( x - 4x + 7 = -14 \)
Combine like terms: \( -3x + 7 = -14 \)
Subtract 7: \( -3x = -21 \)
Divide by -3: \( x = 7 \)

Step3: Find \( y \) using \( x = 7 \)

Substitute \( x = 7 \) into \( y = 2x - 3.5 \): \( y = 2(7) - 3.5 = 14 - 3.5 = 10.5 \)

Answer:

B. (7, 10.5)