Answer:
(x, y) = (-2, -3)
WORK:
2x + 4y = -16 =
-2x + 2y = -2 =
(^ the two’s cancel out) =
6y = -18 =
(^ you need to divide 6 on both sides to get just y) =
6y/6 = -18/6 =
(^ the six’s cancel out) =
y = -3 =
(^ now you have to plug this in to get x) =
2x + 4(-3) = -16 =
2x - 12 = -16 =
(^ you need to add 12 on both sides to get rid of it on the left side to add it to -16 on the right side) =
2x = -4 =
2x/2 = -4/2 =
(^ now you divide 2 on both sides again to get just y, and they will cancel out) =
x = -2 =
THEREFORE YOU GET (-2, -3)
Answer:
Step-by-step explanation:
slope of -2 means the slope is -2/1
from (3, - 8) you can find the y intercept by going backwords until x = 0
(2,-6)
(1,-4)
(0,-2)
so the y intercept is -2
y = -2x - 2
The sentence reads:
J equals the value of x such that x is an integer AND x is greater than -1.
Translated to English, we can say J is an integer which is zero or positive, or in other words, J is a non-negative integer.
Answer:
Step-by-step explanation:
Let's substitute the first equation into the second one.
- Multiply by 
and bring all the terms to one side.
I'll use my graphical calculator to solve this but you could factor:
(All rounded to 2 decimal places)
Now we can substitute these values into an equation for 
.
Change the equation, x - y = -3, to isolate x or y and plug that new equation into the equation 2x + 3y = 4
I changed it to: x = y - 3
so
2(y - 3) + 3y = 4
2y - 6 + 3y = 4
5y - 6 = 4
5y = 4 + 6
5y = 10
y = 10/5
y = 2
then you plug that 2 into the equation x = y - 3 to get the value of x
x = (2) - 3
x = -1
you can check this by plugging the x and y values into the equation 2x + 3y = 4
2(-1) + 3(2) = 4
-2 + 6 = 4
4 = 4
hope this helps :)
