SOLUTION: If i was given this problem to solve algebraically --> 8x + 5y = 6 -3x - 9y = -45.....and to apply the elimination method, i

Question 231267: If i was given this problem to solve algebraically --> 8x + 5y = 6
-3x - 9y = -45.....and to apply the elimination method, it was rewritten as 24x + 15y = 18
-24x - 9y = -45.....what mistake was made?????
Answer by unlockmath(1688) (Show Source): You can put this solution on YOUR website!
Hello,
Let's take a look at this. I take it you were given 2 equations.
8x + 5y = 6 and -3x - 9y = -45
What happened was the first equation was multiplied by 3. (Note, you need to multiply all the terms in the equation. Then the equation looks like this:
24x + 15y = 18 Now let's multiply the second equation by 8 which will be:
-24x - 72y = -360 Let's add these equations together, which gives us:
-57y = -342 Now solve for y by dividing each side by -57.
y = 6
Now we can plug 6 into y in the original equation:
-3x - 9(6) = -45 Solve
-3x - 54 = -45 Add 54 to both sides.
-3x = 9 Divide by -3
x = -3
So the answer is x = -3 and y = 6
Plug these into the original equation and it should be correct.

RELATED QUESTIONS
I need to solve this system of linear equations using any method. I tried using the... (answered by Alan3354,MathLover1)

When solving Linear Systems algebraically, there are the three main methods;... (answered by alaccalac)

I am having trouble with this equation, 8x-9y=8.5 7y-2x=-45 solve using the... (answered by stanbon)

Hi there! I'm wondering what the best method would be to solve a system of three linear... (answered by KMST)

I am trying to figure out the x and y of this elimination question: 3y+9y=138... (answered by greenestamps,ikleyn)

Could you show me how to sove this using the elimination method? 7x+5y=2... (answered by checkley71)

Hi, Can you please help? . When given the system of equations of {{{ system... (answered by checkley77)

19. this cause for me to solve the system of equations using elimination by addition... (answered by 303795)

Please help me solve this problem. I need to solve by using the elimination method.... (answered by MathLover1)