Question

Slove the system of equations by useing the substitution method. 2x - 3y=9 y=x-4​

Answer 1

x = 3

y = -1

Explanation:

in this system, we are given that y = x - 4

this means that we can take the other equation and replace y with x - 4:

so 2x - 3y=9 turns into

2x -3 (x - 4) = 9

distribute -3 to x and -4:

2x - 3x + 12 = 9

add like terms and subtract 12 from both sides

-x = -3

divide both sides by -1 to get rid of the negative on x:

x = 3

now we have the value of x, so we can replace the x in y = x - 4 with the value we just got

so y = x- 4 turns into

y = (3) - 4

solve and you get

y = -1