SOLUTION: / = a fraction x/2 - y/3 = 5/6 x/5 - y/4 = 43/10 what is the solution to the system of equations by using substitution?

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Question 636588: / = a fraction
x/2 - y/3 = 5/6
x/5 - y/4 = 43/10
what is the solution to the system of equations by using substitution?

Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!
.....1
......2
________________________________
.....1..solve for


......plug it in 2
____________________________________
......2

...solve for

..both side multiply by







..both side multiply by











now find





round to whole number




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

/ = a fraction
x/2 - y/3 = 5/6
x/5 - y/4 = 43/10
what is the solution to the system of equations by using substitution?



3x - 2y = 5 ------ Multiplying by LCD, 6 ----- eq (i)



4x - 5y = 86 ----- Multiplying by LCD, 20 ------ eq (ii)

3x - 2y = 5 ------ eq (i)
4x - 5y = 86 ----- eq (ii)
- 15x + 10y = - 25 ----- Multiplying eq (i) by - 5 ------ eq (iii)
8x - 10y = 172 ----- Multiplying eq (ii) by 2 ------ eq (iv)
- 7x = 147 ----- Adding eqs (iv) & (iii)
x = , or

- 63 - 2y = 5 ----- Substituting - 21 for x in eq (i)

- 2y = 5 + 63

- 2y = 68
y = , or

You should be able to do your own check!!

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