Question

Can someone please help me solve each system of linear equations by substitution.

5.)


2x - 3y = -24

x + 6y = 18



6.)

x - 2y = 5

3x - 5y = 8



I do not understand this and I need help with it so please try and showing the steps you did to find the answer if you get one. Thank you for your help!

Answer 1

I'm not good at explaining things but I do know how to do the problem

5. 2x-3y=-24

x+6y=18 -> -2(x+6y=18) = -2x-12y=-36

distribute -2 ^

2x-3y=-24 x+6(-4)=18

-2x-12y=-36 x -24 = 18

0-15y= -60 +24 = +24

-15 = -15 x= 42

y = 4 (42,4)

6. x-2y=5

3x-5y=8

x-2y= 5 -> -3(x-2y=5)

-3x+6y= -15

3x-5y=8 x-2y=5

0+ 1y= 7 x-2(7)=5

1 = 1 x-14=5

y = 7 +14= +14

x = 19 (19,7