SOLUTION: Solve the system using elimination. 4x - 5y = 11 6x + 7y = 31 A. (-2, 2) B. (10, 2) C. (4, -5) D. (4, 1)

Algebra ->  Graphs -> SOLUTION: Solve the system using elimination. 4x - 5y = 11 6x + 7y = 31 A. (-2, 2) B. (10, 2) C. (4, -5) D. (4, 1)      Log On


   



Question 947975: Solve the system using elimination.

4x - 5y = 11
6x + 7y = 31

A. (-2, 2)
B. (10, 2)
C. (4, -5)
D. (4, 1)

Answer by EdenWolf(517) About Me  (Show Source):
You can put this solution on YOUR website!
4x+-+5y+=+11 and
6x+%2B+7y+=+31
To eliminate one of the variables, let us multiply the top equation by 3 and the bottom equation by -2, so we can have 12x on the top and -12x on the bottom, so then we can add the two equations to eliminate the x variable.
12x-15y=33 and
-12x-14y=-62
Now let's add the two equations together, thus eliminating the x variable.
-29y=-29
y=1
We know that y is 1, so let's plug it into one of the equations. For example, let's just use the first one, to find x.
4x-5%281%29=11
4x-5=11
4x=16
x=4
Thus the answer is D: (4,1).