ok so what you do is: 3x + 4y = -5 x + 5y = -a million you multiply this line by potential of -3 to do away with x once you are attempting this you get: 3x + 4y = -5 -3x - 15y = 3 now the x's cancel out and we are left with: 4y = -5 -15y = 3 and we do the calculations ( ie. 4-15=-11 and -5+3=-2) and then we get: -11y = -2 divide during by potential of -11 y = -2/-11 considering that they're the two minuses it cancels out Givving us the respond of: y = 2/11. :D
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OK, let's solve the second equation for x. We get x = -2 - 5y.
Let's plug that into the first equation: 3 (-2 - 5y) + 4y = -5.
This is equal to -6 -15y +4y = -5.
Solving for y, we get -11y=1, or, y = -1/11.
Substituting this value into the first equation, we get that x = -17/11.
Hope that helps!
ok so what you do is: 3x + 4y = -5 x + 5y = -a million you multiply this line by potential of -3 to do away with x once you are attempting this you get: 3x + 4y = -5 -3x - 15y = 3 now the x's cancel out and we are left with: 4y = -5 -15y = 3 and we do the calculations ( ie. 4-15=-11 and -5+3=-2) and then we get: -11y = -2 divide during by potential of -11 y = -2/-11 considering that they're the two minuses it cancels out Givving us the respond of: y = 2/11. :D
This is a system of equations. An easier way to do this one would be by linear substitution (not elimination).
Lets start by subtracting 5x form equatin 2
x + 5y = -2
- 5y -5y
Which becomes >> x = -2 - 5y
Now we can take the value of x given from this subtraction and add it in to the upper equation.
3x + 4y = -5
Becomes >> 3(-2 - 5y) + 4y = -5
Distribute and Simplify:
-6 - 15y + 4y = -5
Becomes >> -6 - 11y = -5
Becomes >> -11y = 1
Becomes >> y = - ( 1 / 11 )
NOw we plug y into either equation (the bottom seems simpler)
x + 5y = -2
Becomes >> x + 5(-1 / 11) = -2
Becomes >> x + (-5 /11) = -2
Becomes >> x = -2 + (5/11)
Becomes >> x = (-17/11)
So your solution is
x = -17 / 11
y = -1 / 11
or
( -17/11, -1/11)
I used substitution:
x + 5y= -2 subtract 5y
x= -2- 5y Plug x into the other equation
3(-2-5y) +4y= -5
-6 -15y +4y= -5
-6 -11y= -5 add 6
-11y= 1 divide by -11
y=-1/11 Plug y into the other equation
x+5(-1/11)=-2
x-5/11=-2 add 5/11
X= -1 6/11 or -17/11
Check:
-17/11+5(-1/11)=-2
-17/11-5/11=-2
Use substitution. Solve the bottom equation for x:
x=-2-5y
Now, plug this x into the top equation and solve for y:
3(-2-5y)+4y=-5
-6-15y+4y=-5
-11y=1
y=-1/11
x is then -5(-1/11)-2 which is 5/11 - 2 or -17/11
Mult eqtn2 by 3 to get x values the same
3x + 15y=-6
subtract eqtn 1 rom new eqtn 2
11y= 11 (6--5)
y=1
sub into 1
3x +4=-5
3x=-9
x=-3
3x + 4y = -5
3x + 15y = -6
11y = -1
y = -1/11
x = -2 + 5/11
= -17/11
3x + 4y = -5
x + 5y = -2
3x + 4y = -5
(-3)x + (-3)5y = (-3)-2
3x + 4y = -5
-3x - 15y = 6
11y = 11
11/11 = 1
y = 1
x + 5(1) = -2
x + 6 = -2
x = -8
3x+4y=-5)5
x+5y=-2)-4
15x+20y=-25
-4x+-20y=8
11x=-17
So?
-11/17????