what is the solution to the system of equations?\ny = 2x - 3.5\nx - 2y = -14\n(-7, 3.5)\n(3.5, -7)\n(7…
what is the solution to the system of equations?\ny = 2x - 3.5\nx - 2y = -14\n(-7, 3.5)\n(3.5, -7)\n(7, 10.5)\n(10.5, 7)
Answer
Explanation:
Step1: Substitute y into second - equation
Substitute $y = 2x-3.5$ into $x - 2y=-14$. We get $x-2(2x - 3.5)=-14$.
Step2: Expand and simplify
Expand the left - hand side: $x-4x + 7=-14$. Combine like terms: $-3x=-14 - 7$, so $-3x=-21$.
Step3: Solve for x
Divide both sides by $-3$: $x=\frac{-21}{-3}=7$.
Step4: Solve for y
Substitute $x = 7$ into $y = 2x-3.5$, then $y=2\times7-3.5=14 - 3.5 = 10.5$.
Answer:
C. $(7,10.5)$