Answer:
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)
