Answer:
(3,6)
Step-by-step explanation:
Collect like terms
y -5x = -9
y + 2x = 12
Using elimination method
Subtract equation 2 from equation 1
y - 5x = -9
y + 2x = 12
---------------
0. -7x = -21
Divide both sides by -7
-7x = -21
---- -----
-7 -7
x = 3
Substitute x=3 into equation 1
y = 5(3) - 9
y = 15 - 9
y = 6
Solution is (x,y) = (3,6)
The depth is what makes this a three dimensional figure since there are three dimensions: length, width, and depth! All three of these dimensions are used to find the volume of a rectangular prism.
The first problem, all you need to do is combine like terms then isolate the n:
4n-2n=4
~subtract 2n from 4n (2n)
2n=4
~then divide both sides of the equation by 2 to isolate the n
n=4
The second problem follows the same steps of combining like terms and isolating the variable. Here, you'll have to combine 2 like terms:
-12=2+5v+2v
~first combine the variables which is just 5v+2v which is 7v
-12=2+7v
~then subtract 2 from both sides to isolate the 7v
-14=7v
~then divide both sides by 7 to isolate the v and get your answer
-2=v
Hope that helped!
Slope = (y2 - y1)/(x2 - x1)
slope = (7 - -2)/(-3 - 6)
slope = 9/-9
slope = -1
