Question

The solution set of 4x - 3y = 47 and 3x + y = 32 is

A) {(15, 3)} B) {(4, 12)} C) {(11, -1)} D) {(12, 3)}

Answer 1

Answer:

C) 11,-1

Step-by-step explanation:

4x - 3y = 47 ..................(1)

3x + y = 32 .................(2)

Multiplying (2) throughout by 3 we get,

9x + 3y = 96 ................(3)

Adding (1) & (3)

4x - 3y = 47 ..................(1)

+ 9x + 3y = 96 ................(3)

_____________________

13 x = 143

x = 143 / 13

= 11

Putting x = 11 in (2) we get,

y = 32 -33

= -1

therefore,

(x,y) = (11,-1)

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