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

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)   (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)   (Show Source): You can put this solution on YOUR website!
(1)
(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:
(3)
and my equation (2) by the constant in front of x in equation (1)(which is -2). This leaves:
(4)
Now subtracting equation (3) by equation (4) we have:

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

So the system has the solution (6, -8.5).
_______________________________________________________________________________
Hopefully this helps!
Romans 5:8
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Leviticus 20:9

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