Question

Solve the system algebraically.

4x - 5y = 3
x = 3 - 1/2y
What is the value of x?
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9/7
24/14
33/14

Answer 1

The answer is 33/14.

Answer 2

4x - 5y = 3
x = 3 - 1/2y

4(3 - 1/2y) - 5y = 3
12 - 2y - 5y = 3
12 - 7y = 3
7y = 12 - 3
7y = 9
y = 9/7

x = 3 - 1/2y
x = 3 - 1/2*9/7
x = 3 - 9/14
x = 42/14 - 9/14
x = 33/14

The correct answer is C. 33/14.