4x+3y=14
3x−4y=23
Putting 1x=p in the given equations, we get
4p + 3y = 14
⇒ 4p + 3y - 14 = 0 ---(i)
⇒ 3p - 4y -23 = 0 ---(ii)
By cross-multiplication, we get
p−69−56=y−42−(−92)=1−16−9
⇒−p125=y50=−125
Now, −p125=−125 and
y50=−125
⇒ p = 5 and y = -2
Also, p=1x=5
⇒x=15
So, x=15 and y = -2 is the solution.