SOLUTION: Solve the system of equations by addition method. 3x-7y=10 5x+2y=3

Question 527061: Solve the system of equations by addition method.
3x-7y=10
5x+2y=3
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
3x -7y = 10
5x +2y = 3
.
Multiply the first equation by 2 and the second by 7, then add.
.
6x -14y = 20
35x + 14y = 21
---------------
41x = 41
.
Divide both sides by 41.
.
x = 41
.
Ordinarily, you substitute at this point, but you can do another addition to find 'y'.
Simply multiply the first equation by 5 and the second by 3, then subtract.
.
15x - 35y = 50
15x + 6y = 9
--------------
-41y = 41
.
y = -1
.
To check, you can substitute these values to see if they produce the right answer.
.
3x - 7y = 10 ??
3(1) -7(-1) = 10
.
5x + 2y = 3 ??
5(1) +2(-1) = 3
.
Answer: x=1, y = -1. This answer may be shown as the ordered pair (1,-1).
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If you were to graph the two equations, you would find they intersect there.
.
-7y = -3x + 10
y = 3/7*x -10/7
.
2y = -5x +3
y = -5/2*x + 3/2
.

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