Answer:
[tex]x=0[/tex]
[tex]y=-7[/tex]
Step-by-step explanation:
Let's use elimination.
We can multiply the second equation by -2 so that we can eliminate one variable from the system of equations.
[tex]-2(y=x-7)[/tex]
[tex]-2y=-2x+14[/tex]
Now we can use elimination and subtract.
[tex]y=2x-7[/tex]
[tex]-2y=-2x+14[/tex]
[tex]-y=7[/tex]
[tex]y=-7[/tex]
Now we can plug in the value of y into the first equation.
[tex]-7=2x-7[/tex]
[tex]2x=0[/tex]
[tex]x=0[/tex]
We can plug these values to check.
[tex]-7=0-7[/tex]
[tex]-7=0-7[/tex]
