[tex]y=5x-7[/tex][tex]-3x-2y=-12[/tex]
To find the solutions by substitution:
1. Clear a variable (x or y) in one of the equations:
As in the first equation the variable y is clear you don't need to clear a variable.
2. Substitute the value of the clear variable in the other equation:
[tex]-3x-2(5x-7)=-12[/tex]
3. Make operations:
[tex]-3x-10x+14=-12[/tex][tex]-13x+14=-12[/tex]
4. Clear the variable x:
5. Subtitute the value of the x in the first equation to find the value of y:
[tex]y=5(2)-7[/tex][tex]y=10-7=3[/tex]
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Then so, the value of the variables in the given system of equations is:y=3x=2
