SOLUTION: Help please! I tried this problem for hours and I couldn't figure it out. Also I need this problem done in in linear combination (elimination).
-3x-10y=9
14x+18y=-22
Thanks!
Algebra.Com
Question 637179: Help please! I tried this problem for hours and I couldn't figure it out. Also I need this problem done in in linear combination (elimination).
-3x-10y=9
14x+18y=-22
Thanks!
Found 2 solutions by jim_thompson5910, MathTherapy:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given system of equations:
Multiply the both sides of the first equation by 9.
Distribute and multiply.
Multiply the both sides of the second equation by 5.
Distribute and multiply.
So we have the new system of equations:
Now add the equations together. You can do this by simply adding the two left sides and the two right sides separately like this:
Group like terms.
Combine like terms.
Simplify.
Divide both sides by to isolate .
------------------------------------------------------------------
Now go back to the first equation.
Plug in .
Multiply.
Multiply both sides by the LCD to clear any fractions.
Distribute and multiply.
Subtract from both sides.
Combine like terms on the right side.
Divide both sides by to isolate .
Reduce.
So the solutions are and .
Which form the ordered pair )
.
This means that the system is consistent and independent.
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
Help please! I tried this problem for hours and I couldn't figure it out. Also I need this problem done in in linear combination (elimination).
-3x-10y=9
14x+18y=-22
Thanks!
- 3x - 10y = 9 ------ eq (i)
14x + 18y = - 22 ---- eq (ii)
- 27x - 90y = 81 ----- Multiplying eq (i) by 9 ------ eq (iii)
70x + 90y = - 110 ----- Multiplying eq (ii) by 5 ------ eq (iv)
43x = - 29 ------ Adding eqs (iv) & (iii)
x =
Now substitute for x into either eq (i) or (ii) and solve for y
Send comments and “thank-yous” to “D” at MathMadEzy@aol.com
RELATED QUESTIONS
The directions for the problem is "Solve each equation for x to three significant digits” (answered by fractalier)
Hi! I think I got the correct answer to this word problem but am having trouble setting... (answered by ankor@dixie-net.com)
I am trying to use the pythagorean theorem on right triangles. We are supposed to do the... (answered by greenestamps,ikleyn)
I have tried every which way to figure this problem out. I need... (answered by solver91311)
Solve the system by substitution.
x + y = 12
y = 2x
Again I need help with... (answered by doukungfoo)
I need help with this problem because i dont understand. the problem is sqrt4+10=4-2 and... (answered by ankor@dixie-net.com)
Karen’s boat has a top speed of 10 miles per hour in still water. While traveling on a... (answered by josmiceli)
can someone please help my solve this problem and also show the steps to solve it so I... (answered by algebrahouse.com,mananth)
Hello,
Can someone please help me solve this problem, I tried and I still can not... (answered by richwmiller)