SOLUTION: What is the solution to this system of linear equations using the substitution method?
1/2x-1/5y=6
1/6+2/5y=9
Algebra.Com
Question 665403: What is the solution to this system of linear equations using the substitution method?
1/2x-1/5y=6
1/6+2/5y=9
Found 2 solutions by mananth, MathTherapy:
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
LCD = 10
multiply equation by 10
we get
5x-2y=60...............(1)
Multiply equation by LCD 30
5x+6y=270................(2)
5 x -2 y = 60 .............1
5 x + 6 y = 270 .............2
Eliminate y
multiply (1)by 3
Multiply (2) by 1
15 x \ -6 y = 180
5 x + 6 y = 270
Add the two equations
20 x = 450
/ 20
x = 23
plug value of x in (1)
5 x -2 y = 60
113 -2 y = 60
-2 y = 60 -113
-2 y = -53
y = 26
x= 23
y= 26
m.ananth@hotmail.ca
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
What is the solution to this system of linear equations using the substitution method?
1/2x-1/5y=6
1/6+2/5y=9
5x - 2y = 60 ----- Multiplying eq (i) by LCD, 10 ----- eq (iii)
5x + 12y = 270 ---- Multiplying eq (ii) by LCD, 30 ----- eq (iv)
- 14y = - 210 ------ Subtracting eq (iv) from eq (iii)
y = , or
5x - 2(15) = 60 ------ Substituting 15 for y in eq (iii)
5x - 30 = 60
5x = 90
x = , or
You should be able to do the check, in the original equations, i.e. eqs (i) & (ii)
Send comments and “thank-yous” to “D” at MathMadEzy@aol.com
RELATED QUESTIONS
COULD SOME ONE HELP? SOLVE EACH SYSTEM OF SIMULTANEOUS EQUATIONS BY USING THE LINEAR... (answered by stanbon)
use method of substitution to solve the system of linear equations.
7X+5Y=7/2... (answered by flame8855)
What is the solution to the system of equations:
2x +5y + 2z = 6
5x - 7y = -29
z = 1
(answered by Annabelle1,Earlsdon)
Explain how you would use the substitution method to solve the following system of... (answered by richwmiller)
SOLVING SYSTEMS OF LINEAR EQUATIONS BY SUBSTITUTION.
Instruction:
Solve each system (answered by venugopalramana)
1.what is the solution to this linear system ?
2x+5y=-1
15x-5y=-50
(answered by solver91311)
What is the solution of this linear system? 3x+5y=-1;... (answered by Alan3354)
Solve the system of linear equations using the Graphing method.
x-5y=16... (answered by mananth)
solve the following system of equations using matrices
x-y+4z=6
2x+z=1
x+5y+z=-9
is (answered by funmath)