SOLUTION: 1. Solve the system by substitution. A) 3x+4y=11. B) 3x+2y=6 -8x-y=19. 2x+5y=-7 2. Solve the system using the addition method A)11x-5y=10. B)10x-4

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Question 1157002: 1. Solve the system by substitution.
A) 3x+4y=11. B) 3x+2y=6
-8x-y=19. 2x+5y=-7

2. Solve the system using the addition method
A)11x-5y=10. B)10x-4y=7
13x-7y=2. B)4x-y=-5
I need to show the work and I don't understand how to do them.

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
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Solve the system by substitution.
A) 3x+4y=11. B) 3x+2y=6
-8x-y=19. 2x+5y=-7
---------------------------------

B was already explained and the best way could be to multiply first equation by 2, second equation by 3, and substitute for 6x.

A:

First easiest to SOLVE FOR y in second equation.


SUBSTITUTE into other equation.




--------------now use this to solve for y, either equation.

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

1. Solve the system by substitution.
A) 3x+4y=11. B) 3x+2y=6
-8x-y=19. 2x+5y=-7

2. Solve the system using the addition method
A)11x-5y=10. B)10x-4y=7
13x-7y=2. B)4x-y=-5
I need to show the work and I don't understand how to do them.
This is how B) needs to be done:
3x + 2y = 6 ------ eq (i)
2x + 5y = - 7 ---- eq (ii)
x - 3y = 13 ------ Subtracting eq (ii) from eq (i)
x = 13 + 3y ------ eq (iii)
3(13 + 3y) + 2y = 6 ------ Substituting 13 + 3y for x in eq (i)
39 + 9y + 2y = 6
11y = - 33

Now, do you think you can find y?
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