Question 68606: pLEASE HELP ME WITH THIS PROBLEM
If 2x-4y=-2 and 3x-2y=3 then 2y+x =
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! If 2x-4y=-2 and 3x-2y=3 then 2y+x =
:
Solve the system using the first two equations:
2x - 4y = -2
3x - 2y = 3
:
Multiply the 2nd equation by 2 and subtract it from equation 1:
2x - 4y = -2
6x - 4y = 6
---------------subtracting eliminates y
-4x + 0 = -8
:
Divide both sides by -4
1x = -8/-4
x = + 2
:
Find y using the 1st equation, substitute 2 for x:
2x - 4y = -2
2(2) - 4y = -2
4 - 4y = - 2
-4y = -2 - 4
-4y = -6
:
Divide both sides by -4
1y - -6/-4
y = +1.5
:
:
Check our solution by substituting for x & y in the 2nd equation:
3x - 2y = 3
3(2) - 2(1.5) = 3
6 - 3 = 3 proves our solutions are right:
:
:
Now complete the last equation 2y + x =, substitute for x & y
2(1.5) + 2 =
3 + 2 = 5
:
The equation should be 2y + x = 5
:
A lot of steps, but each one was simple, if you study it carefully, it will all
make sense to you
|
|
|
