SOLUTION: Solve the system of equations using the substitution method and state your solution. x− 3y = −11 4x + 5y = −10

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Question 1155611: Solve the system of equations using the substitution method and state your solution.
x− 3y = −11
4x + 5y = −10

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39629) About Me  (Show Source):
You can put this solution on YOUR website!
x− 3y = −11
4x + 5y = −10


4x-12y=-44
4x+5y=-10


4x=12y-44
4x+5y=-10


The substitution:
(12y-44)+5y=-10
17y-44=-10
17y=34
y=2
and you can use this to find x.


Answer by MathTherapy(10556) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the system of equations using the substitution method and state your solution.
x− 3y = −11
4x + 5y = −10
x − 3y = − 11_____x = - 11 + 3y ------ eq (i)
4x + 5y = − 10 ------ eq (ii)
4(- 11 + 3y) + 5y = - 10 -------- Substituting - 11 + 3y for x in eq (ii)
- 44 + 12y + 5y = - 10
17y = 34
highlight_green%28matrix%281%2C5%2C+y%2C+%22=%22%2C+34%2F17%2C+%22=%22%2C+2%29%29
Now, substitute 2 for y in eq (i) to find the value of x.