Question

7x - 2 = 2y

3x = 2y - 1
Solve the system of equations by substitution.
(3/4, 13/8)(1/4, -1/8)no solutioncoincident

Answer 1

`\left\{\begin{array}{ccc}7x-2=2y\\3x=2y-1\end{array}\right\\\\substitution:\\\\3x=7x-2-1\\3x-7x=-3\\-4x=-3\ \ \ /:(-4)\\x=(3)/(4)\\\\2y=7\cdot(3)/(4)-2=(21)/(4)-2=(21)/(4)-(8)/(4)=(13)/(4)\\2y=(13)/(4)\ \ \ \ /:2\\y=(13)/(8)\\\\Answer:x=(3)/(4);\ y=(13)/(8).`