Question

Which equation shows y=34x−52 in standard form?

4x−3y=10

3x−4y=−10

4x−3y=−10

3x−4y=10

Answer 1

3x-4y=10

Explanation:

y=(3/4)x-5/2

Standard form of the equation Ax+By=C, with A, B, and C integer numbers

The coefficient of "x" and the independent term are fractions. To simplify them, let's multiply both sides of the equation by 4:

4y=4 [ (3/4)x-5/2]

4y=4(3/4)x-4(5/2)

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

4y=[(4*3)/(1*4)]x-(4*5)/(1*2)

4y=(12/4)x-20/2

4y=3x-10

The two variables must be in the same side of the equation and the independent term in the other side, but the coefficient of "x" must be positive, then subtracting 4y and adding 10 both sides of the equation:

4y-4y+10=3x-10-4y+10

10=3x-4y

3x-4y=10