Question

5x-y=3 -5x+2x=4 Which ordered pair satisfies the system of equations shown above?

Answer 1

`x = - 1 (1)/(3)`

`y = - 9 (2)/(3)`

Step-by-step explanation:

{5x - y = 3,

{-5x + 2x = 4;

.

{5x - y = 3,

{-3x = 4;

.

Make x the subject from the 2nd equation:

`- 3x = 4`

Divide both sides by (-3):

`x = - (4)/(3 ) = - 1(1)/(3)`

Replace x in the 1st equation with this value:

`5x - y = 3`

`5 * ( - (4)/(3) ) - y = 3`

`- (20)/(3 ) - y = 3`

`- y = 3 + (20)/(3)`

Multiply or divide both sides by (-1) to eliminate the minus in y:

`y = - 3 - (20)/(3) = - (29)/(3) = - 9 (2)/(3)`