2x + 5y = -23, 3x - 7y = 9
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Good evening my dear friend, here is the answer to your question with full solution,
2x+5y = -23 -----(i)
3x -7y = 9 ----- (ii)
Lets us make coefficient of x same so that we can eliminate out x
Therefore,
Let us multiply (i) with 3 and (ii) with 2
(2x+5y = -23) *3
(3x-7y = 9)*2
therefore,
6x + 15y = -69 ---- (1)
6x - 14y = 18 -----(2)
if we subtract (2) from (1) then x will get eliminated and that is what we want..
therefore,
on subtracting we have
19 y = -87
y= -3
If we put y= -2 in (i) then we will have the value of x also,
so let us put the value of y in (i)
therefore,
2x + 5(-3) = -23
2x = -8
x= -3
Therefore value of X = -3
and value of Y = -3
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