Question

If 2x - 3y = 14 and 5x + 2y = 16, then

a) x = 2, y = 4 b) x = -2, y = 4 c) x = 4, y = 2 d) x = 4, y = -2​

Answer 1

Given question:

2x - 3y = 14....(1)

5x + 2y = 16...(2)

To find:

Which value is correct to this question from given options.

Solution:

We use elimination method for this question.

So, multiple equation (1) by 2

multiple equation (2) by 3

We get,

4x - 6y = 28

15x + 6y = 48

+ - +

We get,

19x = 76

x = 76/19

x = 4

Substituting x value in equation (1) to find y value.

2(4) - 3y = 14

8 - 3y = 14

-3y = 14 - 8

-3y = 6

y = -6/3

y = -2

Hence, option (d) is correct answer.

Answer 2

Answer:

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