Step 1) Solve the second equation for y:
2x + y = 3
2x + y - color(red)(2x) = 3 - color(red)(2x)
2x - color(red)(2x) + y = 3 - 2x
0 + y = 3 - 2x
y = 3 - 2x
Step 2) Substitute 3 - 2x for y in the first equation and solve for x:
3x + 2y = 4 becomes:
3x + 2(3 - 2x) = 4
3x + (2 xx 3) - (2 xx 2x) = 4
3x + 6 - 4x = 4
3x - 4x + 6 = 4
(3 - 4)x + 6 = 4
-1x + 6 = 4
-x + 6 - color(red)(6) = 4 - color(red)(6)
-x + 0 = -2
-x = -2
color(red)(-1) xx -x = color(red)(-1) xx -2
x = 2
Step 3) Substitute 2 for x in the solution to the second equation at the end of Step 1 and calculate y:
y = 3 - 2x becomes:
y = 3 - (2 xx 2)
y = 3 - 4
y = -1
The solution is x = 2 and y = -1 or (2, -1)
