Question

Solve the system of equations,4.x - 2y = 83x + 4y = 17

Answer 1

`\begin{gathered} 4x-2y=8 \\ 3x+4y=17 \\ \\ if\text{ we find y in the first equation} \\ \\ \\ 4x-8=2y \\ (4x-8)/(2)=y \\ y=2x-4 \\ \\ \text{then } \\ 3x+4y=17 \\ 3x+4(2x-4)=17 \\ 3x+8x-16=17 \\ 11x-16=17 \\ 11x=33 \\ x=(33)/(11) \\ x=3 \\ \\ \text{ and x=3, replacing x in y=2x-4} \\ y=2\cdot3-4 \\ y=6-4 \\ y=2 \\ \\ \text{the solution is (3,2)} \end{gathered}`