Question

7x - 3y = 4

2x - 4y = 1

Which of the following system of equations is not equal to the system of equations shown above?

a.28x - 12y = 16 and -6x + 12y = -3
b.14x - 6y = 4 and -14x + 28y = 1
c.-28x + 12y = -16 and 28x - 56y = 14

Answer 1

the answer is b because be gives 7 x=3 y+2 and 14 x+1=28 y

Answer 2

Option B

Explanation:

The given equations are 7x - 3y = 4---- (1) and 2x - 4y = 1 ----(2)

Option A : we multiply equation (1) by 4 then

28x - 12y = 16 -----(3)

We multiply equation (2) by (-3) then we get.

-6x + 12y = -3 -------(4)

Equation 3 and 4 are similar as 1 and 2 .

Therefore, option A is correct represent similar equations.

Option B : By multiplication equation (1) by 2

14x - 6y = 8

and multiplication equation (2) by (-7)

-14x + 28y = (-7) (Therefore, equations does not match the system of equation)

Option C : If we multiply equation (1) by (-4)

-28x + 12y = -16

and multiply equation (2) by 14 we get.

28x - 56y = 14

These equations are similar to system of equations.

Therefore, Option B is the answer.