Question

Please Help Me

Solve, using the substitution method.
1. 2x + 3y = 3 2. x + 2y = 1
(1, 4)
(0, –2)
(3, –1)
7, -5/2

Answer 1

x = 3
y = -1

get the x or y by itself first (second eq. is easier)
So, x + 2y = 1
-2y -2y
Now we get:
x = -2y +1 Plug it into the other equation.

2x + 3y = 3
2(-2y +1) + 3y = 3
-4y + 2 + 3y = 3
-1y +2 = 3
+1y -3 -3 +1 y

y = -1 (plug into either eq to get x)

x + 2y = 1
x+2(-1) = 1
x-2=1
+2 +2

x = 3