solve the pair of linear equation 2x+3y=11 and 2x-4y=-24
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2x + 3y = 11 .......(i)
2x - 4y = -24......(ii)
Using substitution method,
Here from (ii) we get,
2x - 4y = -24
2x = -24 + 4y
x = (-24 + 4y) ÷ 2
x = -24 ÷ 2 + 4y ÷ 2
x = -12 + 2y...........(iii)
Substitute value of x in (i), we get,
2(-12 + 2y) + 3y = 11
-24 + 4y + 3y = 11
7y = 11 + 24
7y = 35
y = 35 ÷ 7
y = 5
Put value of y in (iii)
= -12 + 2y
= -12 + 2(5)
= -12 + 10
= -2
We Get Value of x = -2 and y = 5
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