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Question

Solve the following system of equations to find x and y:
11x + 15y + 23 = 0
7x – 2y – 20 = 0

A
x = 1, y = -1
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B
x = 1, y = 2
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C
x = 2, y = -3
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D
x = 3, y = -1
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Solution

The correct option is C x = 2, y = -3
The given pair of equations are,

11x+15y+23=0(i)
7x2y20=0(ii)

From (ii),

2y=7x20
y=7x202(iii)

Now substituting y in (i),
11x+15(7x202)+23=0

11x+(105x3002)+23=0

22x+105x300+46=0

127x254=0

x=2

Next, putting the value of x in (iii).

y=7×2202

y=3

Thus the value of x and y found to be 2 and -3 respectively.



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