SOLUTION: how do you find the ordered pair in the following system of equations: 2x+7y=-7 -4x-3y=-19

Question 500768: how do you find the ordered pair in the following system of equations:
2x+7y=-7
-4x-3y=-19
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
2x +7y = -7
-4x -3y = -19
.
multiply the first equation by 2
then add
.
4x +14y = -14
-4x -3y = -19
-------------
0x +11y = -33
.
11y = -33
y = -3
.
substitute to find 'x'
.
2x + 7(-3) = -7
2x -21 = -7
2x = 14
x = 7
.
Always check your answer.
Substitute into the other equation.
.
-4(7) -3(-3) = ??
-28 + 9 = -19
Correct.
.
Answer: (7,-3)
.
If you were to graph these equations, they would intersect there.
.
Graph

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