Question

Choose an equivalent system of equations to the following system:

Fx + Gy = H
Qx + Ry = S

A.6Fx + Gy = 6H
Qx + 6Ry = S

B.6Fx + 6Gy = 6H
Qx + Ry = S

C.Fx + 6Gy = 6H
Qx + Ry = S

D.6Fx + 6Gy = 6H
Qx − Ry = S

Answer 1

Answer: B. 6Fx + 6Gy = 6H

Qx + Ry = S

Answer 2

B. 6Fx + 6Gy = 6H

Qx + Ry = S

Explanation:

Equivalent equations can be created many ways. One of the simplest is to multiply both sides of the equation by the same number. In the answer above, the first equation has been multiplied by 6. Nothing has been done to the second equation.

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Comments on other choices

A: some terms have been multiplied by 6. This changes the equation(s) so they are no longer equivalent to the ones you started with.

B: the correct choice

C: see A.

D: the first equation has been multiplied by 6, so that is equivalent to the original. The second equation has the sign of one of the terms changed, so it is now a different equation.