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Sveta_85 [38]
3 years ago
14

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

Mathematics
1 answer:
ki77a [65]3 years ago
3 0

Answer:

<u>The value of Q is B. 32.</u>

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 <u>(Q = 32)</u>

58y = 128 - 12

58y = 116

<u>y = 2</u>

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

<u>x = 3 (Dividing by 3 at both sides)</u>

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