SOLUTION: Good Afternoon, Please help me to solve this equation: 3x-4y= -24 and x + y = -1. I tried by solving this using simultaneous equation but I did not come alright. here is my

Algebra ->  Linear-equations -> SOLUTION: Good Afternoon, Please help me to solve this equation: 3x-4y= -24 and x + y = -1. I tried by solving this using simultaneous equation but I did not come alright. here is my       Log On


   



Question 1073113: Good Afternoon,
Please help me to solve this equation: 3x-4y= -24 and x + y = -1.
I tried by solving this using simultaneous equation but I did not come alright.
here is my try:
3x-4y = -24 -x -y= -1 y == 3/4x-6(answer) but there is no answers mash.
I subtract equation 2 from equation 1

Found 2 solutions by MaxWong, MathTherapy:
Answer by MaxWong(38) About Me  (Show Source):
You can put this solution on YOUR website!
3x - 4y = -24 --(1)
-x-y = -1 --(2)
From (2),
x + y = 1 --(3)
3*(3): 3x + 3y = 3
3x = 3 - 3y --(4)
Substitute (4) into (1): 3 - 3y - 4y = -24
3 - 7y = -24
7y - 3 = 24
7y = 27
y = 27/7
From (3),
x + 27/7 = 1
x = 1 - (27/7) = -20/7

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

Good Afternoon,
Please help me to solve this equation: 3x-4y= -24 and x + y = -1.
I tried by solving this using simultaneous equation but I did not come alright.
here is my try:
3x-4y = -24 -x -y= -1 y == 3/4x-6(answer) but there is no answers mash.
I subtract equation 2 from equation 1
The easiest method is SUBSTITUTION
3x - 4y = - 24 -------- eq (i)
x + y = - 1_____y = - 1 - x ------ eq (ii)
3x - 4(- 1 - x) = - 24 ------ Substituting - 1 - x for y in eq (i)
3x + 4 + 4x = - 24
3x + 4x = - 24 - 4
7x = - 28
highlight_green%28matrix%281%2C5%2C+x%2C+%22=%22%2C+%28-+28%29%2F7%2C+or%2C+-+4%29%29
y = - 1 - - 4 ------ Substituting - 4 for x in eq (ii)
highlight_green%28matrix%281%2C7%2C+y%2C+%22=%22%2C+-+1%2C+%22%2B%22%2C+4%2C+or%2C+3%29%29