Answer:
x=2,y=3
Step-by-step explanation:
First equation: [tex]5x-7=y[/tex]
Second equation: [tex]-3x+12=2y[/tex]
Put the first equation into the second one;
[tex]-3x+12=2(5x-7)[/tex]
Expand;
[tex]-3x+12=10x-14[/tex]
Group like terms;
[tex]12+14=10x+3x[/tex]
[tex]26=13x[/tex]
Divide both sides by 13
[tex]x=2[/tex]
Put x=2 into the first equation;
[tex]5(2)-7=y[/tex]
[tex]10-7=y[/tex]
[tex]3=y[/tex]
The solution is x=2,y=3
