Question

Solve the following system of equations: x − 2y = 14 x + 3y = 9

Answer 1

(1, 12)

(−1, −12)

(12, −1)

(12, 1)

Answer 2

I am learning how to solve systems of equations by substitution

Answer 3

Btw its actually supposed to look like this:
Solve the following system of equations:
{x − 2y = 14
{x + 3y = 9

Answer 4

Huh?

Answer 5

x-2y=14
x=14+2y
now substitute for x= 14+2y in the second equation
14+x=9
14+2y+3y=9
14+5y=9
5y=9-14
5y=-5
y=-1

now substitute the value of y=-1 in the first equation i.e. x-2y=14
x-2(-1)=14
x+2=14
x=12

Answer 6

x − 2y = 14_________(1)
x + 3y = 9________(2)

in equation (1)

x-2y=14
x=14+2y

put 'x' in equation (2)

x + 3y = 9
(14+2y)+3y=9
14+2y+3y=9
5y=9-14

5y=-5
y=-1

put 'y' in equation (1)

x − 2y = 14
x − 2(-1) = 14
x+2=14
x=12

(x,y)=(12,-1)

Answer 7

No she did good! I actually understand it, she wrote it all out and I was able to see how she did it!

Answer 8

@susan3 and @Nurali Thanks so much! You both showed me how to do it wonderfully. I understand a lot better now!

Answer 9

My Pleasure.