Answer:
[tex](1, 2)[/tex]
Step-by-step explanation:
We can solve this system using substitution.
In this case, we can substitute 7-3y for x, as they are of equal value.
Therefore...
[tex]2x-3y=-4\\2(7-3y)-3y=-4\\14-6y-3y=-4\\14-9y=-4[/tex]
Subtract 14 from both sides:
[tex]-9y=-18[/tex]
Divide both sides by -9
[tex]y=2[/tex]
Now, substitute 2 for y to solve for x:
[tex]x=7-3y=7-3(2)=7-6=1[/tex]
Therefore the solution to this system of equations is:
[tex](x, y)=(1, 2)[/tex]
