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Please help: solve the system of equations: 5x-2y=44 when x=-4y?
Please help: solve the system of equations: 5x-2y=44 when x=-4y
12 Answers
- Anonymous1 decade agoFavorite Answer
use substituition
5(-4y)-2y=44
-20y-2y=44
-22y=44
y=-2
x=-4y
x=-4(-2)
x=8
answer y=-2 x=8
- 1 decade ago
5x - 2y = 44
When x = -4y,
5(-4y) - 2y = 44
-20y - 2y = 44
-22y = 44
y = -2
Substitute y = -2 into the equation.
5x - 2(-2) = 44
5x + 4 = 44
5x = 40
x = 8
Thus, x = 8 and y = -2.
- Anonymous1 decade ago
you can substitute x=-4y into the first equation. that is,
5(-4y)-2y=44
-20y-2y=44
-22y=44
y=(44/-22)
y=-2
now that you have what y is equal to you can substitute that back into the second equation and solve for x. that is,
x=-4(-2)
x=8.
therefore if 5x-2y=44 and x=-4y then x=8 and y=-2.
Source(s): math major - 1 decade ago
We can solve this using substitution. Take the first equation: 5x-2y=44. Since x=-4y, we'll put -4y everywhere we see x, giving us
5(-4y)-2y=44
-20y-2y=44
-22y=44
y=-2
Now we know the value of y, so we can take the second equation, x=-4y, and plug in -2 everywhere we see y.
x=-4y
x=-4(-2)
x=8
So our solution is x=8, y=-2.
Source(s): My name is Steve and I'm a junior student of mathematics at Cedarville University. - 1 decade ago
it will help if you put it this format:
5x-2y=44
x=-4y
______
So i am going to substitute x in the first equation with -4y since it is proven in the second equation.
5(-4y)-2y=44
-20y-2y=44
-22y=44
y=-2
Now, we know what is the value of y, but we still need the value of x, so we plug in y with -2 to find x.
5x-2(-2)=44
5x+4=44
5x=40
x=8
Check (see if we did everything right)
5(8)-2(-2)=44
40+4=44 ~ correct!
8=-4(-2) ~ correct!
Source(s): Math A student - 1 decade ago
ok...this makes more sense and the other guys are correct except in a system of equations you still have to solve for x also so if y = -2 then x = -4y = -4(-2) = 8
- ?Lv 51 decade ago
x= -4y put this value in the given eq
5x-2y = 44
5(-4y)-2y =44
-20y-2y = 44
-22y =44
y=-2
and x=-4y = -4*-2 = 8
Ans x=8 and y =-2
Good luck !!!