Question

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

Answer 1

x − 2y = 14 so x = 2y + 14
x + 3y = 9 so x = -3y + 9

2y + 14 = -3y + 9
5y = -5
y = -1

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

answer
(12, -1)

Answer 2

Answer: x=12; y=-1

Explanation: we can solve a system of equation by different methods, in this case we will use substitution:

First we isolate the x from the first equation:

x=14+2y

then we replace it in the second equation:

x+3y=9

14+2y+3y=9

and we isolate y

14+5y=9

5y=9-14

5y=-5

y=-1.

now we replace the value of y in the first equation:

x=14+2y

x=14+2(-1)

x=14-2

x=12