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12 October, 18:53

Find the value of Q in the following system so that the solution to the system is

(3, 2).

4x - 5y = 2

6x + 7y = Q

A). 34 B). 32

C). 28 D). 30

+2
Answers (1)
  1. 12 October, 19:12
    0
    The value of Q is B. 32.

    Step-by-step explanation:

    Let's solve the system equation and let's find the value of Q.

    4x - 5y = 2

    6x + 7y = Q

    1st equation

    4x - 5y = 2

    4x = 2 + 5y

    x = 2/4 + 5y/4 (Dividing by 4 at both sides)

    x = 1/2 + 5y/4

    2nd equation

    6x + 7y = Q

    6 (1/2 + 5y/4) + 7y = Q

    6/2 + 30y/4 + 7y = Q

    3 + 30y/4 + 7y = Q

    12 + 30y + 28y = 4Q (Multiplying by 4 at both sides)

    58y = 4Q - 12

    58y = 4 * 32 - 12 (Q = 32)

    58y = 128 - 12

    58y = 116

    y = 2

    Let's find the value of x

    4x - 5y = 2

    4x - 5 (2) = 2 (Replacing y)

    4x - 10 = 2

    4x = 2 + 10 (Like terms)

    4x = 12

    x = 3 (Dividing by 3 at both sides)
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