Question

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

Answer 1

ANSWER

The solution is

x=-3,y=-2

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,

$x = \frac{ - 36}{12} = - 3$

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