Question

Solve the system of equation by substitution

2x -3y = -24
x + 6y = 18
*Pls use step by step explanation

Answer 1

y = 4

x= -6

Explanation:

Substitution; so pretty much finding one equation and substituting it into the second

Let's find the equation of the top one... we'll find X (you can find either x or y though)

2x - 3y = -24

We'll add 3y to both sides

2x = 3y - 24

Dividing by 2 on both sides

x = (3y-24)/2... Simplifying it to x = 1.5y - 12

Let's put it into x + 6y = 18. Since we found X

1.5y - 12 + 6y = 18

Let's add 12

1.5y + 6y = 30

Combining like terms

7.5y = 30

Lastly, we'll divide by 7.5

y = 4

So now that we finally found Y, we can use either equation to solve for X. I'll do both to show both equations end up with the same X

2x-3y =-24

2x-3(4)=-24

2x-12=-24

2x=-12

x=-6

---------

x+6y=18

x+6(4)=18

x+24=18

x=-6