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5 votes
Solve this system of linear equations. Separate

the x- and y-values with a comma.
17x = 4 - 12y
-X = 76 - 12y

2 Answers

3 votes

Answer: x=-4, Y=6

Explanation:

User Sean Worle
by
5.5k points
2 votes

Answer:
(-4,6)

Explanation:

Given the system of equations:


\left \{ {{17x = 4 - 12y} \atop {-x=76 - 12y}} \right.

You can use the Substitution Method to solve the given system of equations:

Multiply both sides of the second equation by -1:


(-x)(-1)=(76 - 12y)(-1)\\\\x=-76+12y

Substitute
x=-76+12y into the first equation and then solve for "y":


17(-76+12y)= 4 - 12y\\\\-1,292+204y=4-12y\\\\204y+12y=4+1,292\\\\y=(1,296)/(216)\\\\y=6

Substitute the the value of "y" into the the equation
x=-76+12y to find the value of "x":


x=-76+12(6)\\\\x=-4

Therefore, the solution is:


(-4,6)