SOLUTION: 4. Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this. -2x + 3y = -37.5 -4x + 0y = -24

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: 4. Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this. -2x + 3y = -37.5 -4x + 0y = -24       Log On


   

Question 549793: 4. Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.
-2x + 3y = -37.5
-4x + 0y = -24




Found 3 solutions by jim_thompson5910, mathie123, Alan3354:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Hint: If -4x + 0y = -24, then



-4x + 0y = -24

-4x = -24

x = -24/(-4)

x = 6


Now use this to find y (by plugging it into the first equation and solving for y)


Answer by mathie123(224) About Me  (Show Source):
You can put this solution on YOUR website!
-2x+%2B+3y+=+-37.5 (1)
-4x+%2B+0y+=+-24 (2)

So for this question, I wouldn't use elimination as Equation (2) gives an easy way for solving for x, but we can
I will eliminate the x values.
This means I must multiply my equation (1) by the constant in front of x in the second equation (2) (which is -4) which leaves:
8x-12y=150 (3)
and my equation (2) by the constant in front of x in equation (1)(which is -2). This leaves:
8x%2B0y=48 (4)
Now subtracting equation (3) by equation (4) we have:
%288x-12y%29-%288x%2B0y%29=150-48
-12y=102
y=102%2F-12
y=102%2F-12
y=-8.5

Now substituting this value of y back into any of the above equations (I will sub it into equation (2)), we can solve for x
-4x+%2B+0%2A-8.5+=+-24
-4x=+-24
x=+-24%2F-4
x=+6

So the system has the solution (6, -8.5).
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Hopefully this helps!
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Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Leviticus 20:9