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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 = -3The given pair of equations are, 11x+15y+23=0−−−(i) 7x−2y−20=0−−−(ii) From (ii), 2y=7x−20 y=7x−202−−−(iii) Now substituting y in (i), ⇒11x+15(7x−202)+23=0 ⇒11x+(105x−3002)+23=0 ⇒22x+105x−300+46=0 ⇒127x−254=0 ⇒x=2 Next, putting the value of x in (iii). ⇒y=7×2−202 ∴y=−3 Thus the value of x and y found to be 2 and -3 respectively.

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