SOLUTION: Solve by addition
2x-3y=-2
5x=2y-9
I did... 5x=2y-9 I triex to make the equation in Ax+By=c form. So I added 2y and I got 5x+2y=-9
And since 2x-3y=-2 was already in th
Algebra.Com
Question 949213: Solve by addition
2x-3y=-2
5x=2y-9
I did... 5x=2y-9 I triex to make the equation in Ax+By=c form. So I added 2y and I got 5x+2y=-9
And since 2x-3y=-2 was already in the ax+by=c form I did 5x+2y=-9(-2) and 2x-3y=-2 (5) and I got -10x-4y=18
10x-15y=-10
The -10x and 10x cancel out so I added -4y and -15y and got -19y= 8 I then divided by -19y and got Y= 8/-19
PLEASE HELP ME.. I AM STUCK AND PLEASE SHOW HOW TO CHECK MY ANSWERES.
Thank you
Found 2 solutions by rothauserc, Alan3354:
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
2x -3y = -2
5x = 2y -9
******
rewrite the second equations as
5x -2y = -9
now multiply the new second equation by -1
-5x +2y = 9
now add this new equation to the first equation
-3x -y = 7
add 3x to both sides of =
-y = 3x + 7
multiply both sides of = by -1
y = -3x -7
now substitute for y in first equation
2x -3(-3x-7) = -2
2x +9x +21 = -2
11x = -23
x = −2.09090909
using first equation substitute for x and solve for y
(2*−2.09090909) -3y = -2
−4.18181818 -3y = -2
-3y = 2.18181818
y = -0.727272727
therefore our solution is x = −2.09090909 and y = 0.727272727
*********
check our solution by substituting for x and y in second equation
(5*−2.09090909) = (2*-0.727272727) -9
−10.45454545 = −10.454545454
our answer checks
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Solve by addition
2x-3y=-2
5x=2y-9
I did... 5x=2y-9 I triex to make the equation in Ax+By=c form. So I added 2y and I got 5x+2y=-9
****** You should have subtracted 2y --> 5x-2y = -9 ********
===============================
2x -3y = -2
5x = 2y -9 --> 5x - 2y = -9
-------------------
Multiply the 1st eqn by -2 and the 2nd by 3
-4x + 6y = 4
15x - 6y = -27
------------------ Add
11x = -23
x = -23/11
-----
Sub for x in any eqn to find y
2x -3y = -2
-46/11 - 3y = -2
3y = -46/11 + 2 = -24/11
y = -8/11
==============
2x -3y = -2 --> -46/11 + 24/11 = -22/11 = -2 Checks
5x = 2y -9 --> -115/11 = -16/11 - 99/11 Checks
RELATED QUESTIONS
How do I solve the system by addition.
–5x + 2y = 10
x – 3y = 11
(answered by checkley71)
My question is in reference to one involving "Solving systems of linear equations by the... (answered by Earlsdon)
I need to solve the following system of linear equations with three variables.
Here is... (answered by ptaylor)
Rewrite the following linear equation in general form (Ax + By + C =0)
y + 6 = -5/2 (x (answered by MathLover1)
6.1
I. Solve each system by graphing, and classify the system as dependent or... (answered by Flake)
How would I solve this equation using multiplication with the addition method? Also by... (answered by math-vortex)
Im doing a practice test to study for my real test. I would like to know if i got th... (answered by MathLover1)
Can you please tell me if i got these correct?
Im doing a practice test to study for my... (answered by Edwin McCravy,solver91311)
It is 2:07 AM and I am fried. Please help.
Solve by the addition method
5x -3y=... (answered by uma)