Question

Isaac Green Elimination (Level 1) Mar 17, 8:18:58 AM Find the solution of the system of equations. -10x+8y=-444x+8y=40

Answer 1

The given equations are:

`\begin{gathered} -10x+8y=-44\ldots\ldots(1) \\ 4x+8y=40\ldots\ldots\text{.}\mathrm{}(2) \end{gathered}`

Subtract equation 1 from 2, we get,

`\begin{gathered} 4x+10x+8y-8y=40+44 \\ 14x=84 \\ x=(84)/(14)=6 \end{gathered}`

Now, substitute the value of x in equation 2, we get

`\begin{gathered} 4*6+8y=40 \\ 8y=40-24=16 \\ y=(16)/(8)=2 \end{gathered}`

Thus, the solution is x = 6 and y = 2