Answer:
[tex]x=2\\y=-3[/tex]
Step-by-step explanation:
We have:
[tex]-9x-10y=12\\-3x+3=y[/tex]
Since we already have a variable value ([tex]y[/tex]) in the second equation, it would be easiest to substitute the value for [tex]y[/tex] in the first equation:
[tex]-9x-10(-3x+3)=12[/tex]
Distribute [tex]-10[/tex] into [tex](-3x+3)[/tex]:
[tex]-9x+30x-30=12[/tex]
Combine like terms:
[tex]21x-30=12[/tex]
Add [tex]30[/tex] to both sides of the equation:
[tex]21x=42[/tex]
Divide by the coefficient of [tex]x[/tex], which is [tex]21[/tex]:
[tex]x=2[/tex]
_
Now that we have our [tex]x[/tex] value, we can substitute that in to the second equation to find our [tex]y[/tex] value:
[tex]-3(2)+3=y[/tex]
Multiply:
[tex]-6+3=y[/tex]
Combine like terms:
[tex]-3=y[/tex]
