Question 78377: I am not sure if this is solved by substitution, or elimination
4x - 6y = -14
x + 4y = 13
Answer by dolly(163)   (Show Source):
You can put this solution on YOUR website! Solution by substitution:
x + 4y = 13
==> x = 13 -4y ------------------(i)
Plugging in this value of x in the first equation, we get,
4(13-4y) - 6y = -14
==> 52 - 16y - 6y = -14
==> 52 - 22y = -14
adding -52 to both sides,
-22y = -14 -52
==> -22y = -66
==> -22y/22 = -66/22
==> y = 3
Putting this value in (i), x = 13 -4(3)
= 13 - 12
= 1
Thus x = 1 and y = 3
Solution by elimination:
4x - 6y = -14----------------------(1)
x + 4y = 13 ----------------------(2)
==> 4x + 16y = 52 -----------(2) x 4
4x - 6y = - 14 -------------(1)
Subtracting the two equations we get,
16y + 6y = 52 + 14
==> 22y = 66
==> 22y/22= 66/22
==> y = 3
Plugging in this in (2), x = 13 - 4y
= 13 - 4(3)
= 13 - 12
= 1
Thus x = 1, y = 3
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