Question

Solve the system of equations using multiplication. 3x – 3y = –3 5x – y = –13 What is the solution of the system?

Answer 1

The solution is

x=-3,y=-2

Step-by-step explanation

First equation

3x – 3y = –3

Second Equation:

5x – y = –13

Multiply the second equation by 3 to get:

Third equation:

15x-3y=-39

Subtract the first equation from the third equation:

`15x - 3x = - 39 - - 3`

`12x = - 36`

Divide both sides by 12,

`x = ( - 36)/(12) = - 3`

Put x=-3 into the first equation:

`3( - 3) - 3y = - 3`

`- 9 - 3y = - 3`

Group like terms,

`- 3y = - 3 + 9`

`- 3y = 6`

`y = - 2`

The solution is

x=-3,y=-2