Question

Solve the system of linear equations by elimination. - - 3x + 4y = 18 6x+2y = -6

Answer 1

Answer: (-2,3)

Step-by-step explanation:

-3x + 4y = 18

6x + 2y= -6        we have to eliminate one of the variables so you will have ot

2(-3x + 4y) = 18(2)     multiply the first equation by 2.  

-6x + 8y = 36

6x +  2y = -6       now we could eliminate the x terms by adding them and

 0  +   10y= 30   remember that is a new equation.  

        y=  3

Now we know that the y solution is 3 so we will put it into one of the equations and solve for x.

-6x + 8(3)=36

-6x + 24= 36

         -24   -24

-6x =  12

x= -2

Answer 2

Answer:

x=-2

y=3

Step-by-step explanation:

-3x+4y=18

multiply by 2

-6x+8y=36

and 6x+2y=-6

add

10 y=30

y=30/10=3

6x+2(3)=-6

6x=-6-6

6x=-12

x=-2