Question

Plz help!!!

Choose an equivalent system of equations to the following system:
Fx + Gy = H
Qx + Ry = S

A. 5Fx + 5Gy = 5H
Qx − Ry = S

B. 5Fx + Gy = 5H
Qx + 5Ry = S

C.5Fx + 5Gy = 5H
Qx + Ry = S

D. Fx + 5Gy = 5H
Qx + Ry = S

Answer 1

5Fx + 5Gy = 5H

Qx + Ry = S

Explanation:

Answer 2

C.
`5F_x+5F_y=5H`

`Q_x+R_y=S`

Explanation:

We are given that a system of equation

`F_x+G_y=H`

`Q_x+R_y=S`

We have to find the system of equation which is equivalent to given system of equation.

Equivalent system of equation is that system of equations in which solution does not change .

If a constant multiplied on both sides of an equation then solution of equation remain same .Hence, system of equation are equivalent.

If we add both equation and take any one equation then the solution does not change.

If we multiply by 5 on both sides of equation first then we get

`5F_x+5F_y=5H`

Now, new system of equation is given by

`5F_x+5F_y=5H`

`Q_x+R_y=S`

Hence, option C is true.