SOLUTION: I'm trying to solve using substitutions. Please help!!! 4x+2y=10 5x-4y=6

Algebra.Com
Question 907709: I'm trying to solve using substitutions. Please help!!!
4x+2y=10
5x-4y=6

Found 2 solutions by mananth, MathTherapy:
Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
4x+2y=10
/2

2 x + 1 y = 5 .............1
1 y = 5 + -2 x
/ 1 =
y = 5 -2 x
5 x -4 y = 6 .....................2
Substitute y in (2)
5 x -4 ( 5 + -2 x ) = 6
5 x -20 + 8 x = 6
5 x 8 x = 26
13 x = 26
/ 13
x= 2
Plug the value of x in (1)
2 x + 1 y = 5
2 * 2 + 1 y = 5
4 + 1 y = 5
1 y = 1
/ 1

m.ananth@hotmail.ca

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

I'm trying to solve using substitutions. Please help!!!
4x+2y=10
5x-4y=6

4x + 2y = 10_____2(2x + y) = 2(5)_____2x + y = 5_____y = 5 - 2x ------- eq (i)
5x - 4y = 6 ------ eq (ii)
5x - 4(5 - 2x) = 6 ------- Substituting 5 - 2x for y in eq (ii)
5x - 20 + 8x = 6
5x + 8x = 6 + 20
13x = 26
x = , or
y = 5 - 2(2) ------ Substituting 2 for x in eq (i)
y = 5 - 4
y =
Solution set:
You can do the check!!
Send comments, “thank-yous,” and inquiries to “D” at MathMadEzy@aol.com.
Further help is available, online or in-person, for a fee, obviously.
For FREE info and answers to questions about the ASVAB exam, the NYS 3 – 8 city/state wide exams,GENERAL
MATH and HOMEWORK QUESTIONS, or MATH QUESTIONS related to the Regents Integrated Algebra,
Regents Geometry, Regents Algebra 2/Trigonometry, SHSAT, COOP/HSPT/TACHS, PSAT, SAT, ACT, SSAT/ISEE,
GRE, CLEP, and the TASC/GED, you can visit: http://asvabstudyzone.freeforums.net/.
RELATED QUESTIONS

I have tried every solution and I cannot come up with an answer to this problem. I am... (answered by stanbon,solver91311)
Use substitutions to solve the system -5x+4y=28... (answered by Fombitz)
I need help to solve this problem. Solve the systems of equations by substitutions (answered by solver91311)
Let me try to solve your system of equation 4x + 4y = 16 and 2x + y = 10 using the... (answered by Alan3354)
Solve the folling 2 x 2 systems using substitutions y= 1/2x + 10 y= 5x... (answered by checkley75)
factor each ploynomial using the distributive property. 5x^2 - 15x 34x^4y^3 -... (answered by Nate,checkley71)
How to solve this linear system shown by using an elimination strategy: 5x - 4y= -3... (answered by MathLover1)
Solve system of equation 3x + 2y - 5z = 6 5x - 4y + 3z = -12 4x + 5y - 2z = 15... (answered by longjonsilver)
Help please! I need to solve using substitution: 1/5x +1/2y=8... (answered by stanbon)