Question

Kuta Software - Infinite Algebra 2 Systems of Two Equations Solve each system by graphing. Name Samantha caballos Date 012001 1) y=-3x +4 y=3x-2 2) y = x+2 5

Answer 1

`x=0,y=-5`

Step-by-step explanation

We want to solve the system of equations by subsitution:

`\begin{gathered} y=-5 \\ 5x+4y=-20 \end{gathered}`

To do this, substitute the first equation into the second:

`\begin{gathered} 5x+4(-5)=-20 \\ 5x-20=-20 \\ \text{Collect like terms:} \\ 5x=-20+20 \\ 5x=0 \\ \text{Divide both sides by 5:} \\ x=0 \end{gathered}`

Therefrore, the solution to the system of equations is:

`x=0,y=-5`