Pair of Linear Equation in Two Variables Test

Result

Pair of Linear Equation in Two Variables Test - 4

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Question 1
1 / -0

Find the value of 11x - 7y, if 17x + 19y = 650 and 23x - 13y = 144.

A
34

B
44

C
54

D
64

Solution

Given equations:
17x + 19y = 650 ... (i)
23x - 13y = 144 ... (ii)

Multiplying (i) by 23 and (ii) by 17, we have
391x + 437y = 14950
391x - 221y = 2448

Now, subtracting these fractions, we have
658y = 12502
y = 12502 ÷ 658
y = 19

Putting the value of y in (i),
17x + 19y = 650
17x + 19(19) = 650

17x + 361 = 650
17x = 650 – 361

17x = 289
x = 289 ÷ 17
x = 17

Now, 11x - 7y
= 11(17) - 7(19)
= 187 - 133
= 54