Question

Elimination (Level 2)Jon 16, 9:50:21 AMFind the solution of the system of equations.8x + 14y = 2-3x – 7y = 8

Answer 1

`\begin{gathered} 8x+14y=2 \\ -3x-7y=8 \end{gathered}`

start by clearing the first equation for x

`\begin{gathered} 8x+14y=2 \\ 8x=2-14y \\ x=(2-14y)/(8) \end{gathered}`

insert this equation into the second equation

`\begin{gathered} -3((2-14y)/(8))-7y=8 \\ -(6)/(8)+(42)/(8)y-7y=8 \\ (42)/(8)y-7y=8+(6)/(8) \\ -1.75y=8.75 \\ y=-(8.75)/(1.75) \\ y=-5 \end{gathered}`

find the value of x

`\begin{gathered} x=(2-14y)/(8) \\ x=(2-14(-5))/(8) \\ x=(2+70)/(8) \\ x=(72)/(8) \\ x=9 \end{gathered}`

The solution for the system of equations is (9,-5)