You can put this solution on YOUR website! 3x+2y=14 and y=X+2
So you want to solve this system of equations, correct?
3x+2y=14
and
y=X+2 subtract 2 on both sides and y on both sides (and flip the equation):
x-y = -2 Multiply both sides times 2
2x-2y = -4
Now add this equation to the first:
3x+2y = 14
+
2x-2y = -4
------------
5x = 10
Divide both sides by 5:
x = 2
Take one of the equations and find y, I'll use the 2nd equation in your problem:
y = x+2
y = 2+2 = 4
-------------------------------------------------
Proof:
3x+2y = 14
3(2)+2(4) = 14
6+8 = 14 Correct
Next:
y = x+2
4 = 2+2 Correct
Note that x IS NOT the same as X. Anyway, I'll treat them as if they were.
3x + 2y = 14 -------- eq (i)
y = x + 2 ------- eq (ii)
Equation 2 has already been solved for y, so all one has to do is SUBSTITUTE this value in eq (i)
3x + 2(x + 2) = 14 ------- Substituting x + 2 for y in eq (i)
3x + 2x + 4 = 14
5x = 14 - 4
5x = 10 -------- Substituting 2 for x in eq (ii)
