Answer: [tex](-4,6)[/tex]
Step-by-step explanation:
Given the system of equations:
[tex]\left \{ {{17x = 4 - 12y} \atop {-x=76 - 12y}} \right.[/tex]
You can use the Substitution Method to solve the given system of equations:
Multiply both sides of the second equation by -1:
[tex](-x)(-1)=(76 - 12y)(-1)\\\\x=-76+12y[/tex]
Substitute [tex]x=-76+12y[/tex] into the first equation and then solve for "y":
[tex]17(-76+12y)= 4 - 12y\\\\-1,292+204y=4-12y\\\\204y+12y=4+1,292\\\\y=\frac{1,296}{216}\\\\y=6[/tex]
Substitute the the value of "y" into the the equation [tex]x=-76+12y[/tex] to find the value of "x":
[tex]x=-76+12(6)\\\\x=-4[/tex]
Therefore, the solution is:
[tex](-4,6)[/tex]
