Question

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

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 the left - hand side: \( x-4x + 7=-14\)
Combine like terms: \( - 3x+7=-14\)
Subtract 7 from both sides: \( -3x=-14 - 7=-21\)
Divide both sides by - 3: \( x = \frac{-21}{-3}=7\)

Step3: Find the value of \( y \)

Substitute \( x = 7 \) into \( y = 2x-3.5 \), we get \( y=2\times7 - 3.5=14 - 3.5 = 10.5\)

Answer:

(7, 10.5)