Answer:
(6, -3)
Step-by-step explanation:
I will solve this system using elimination.
![[tex]\left \{ {{-x+2y=-12} \atop {2x+3y=3}} \right.](https://tex.z-dn.net/?f=%5Btex%5D%5Cleft%20%5C%7B%20%7B%7B-x%2B2y%3D-12%7D%20%5Catop%20%7B2x%2B3y%3D3%7D%7D%20%5Cright.)
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I will multiply 
by 2 so that -x becomes -2x.
2(-x + 2y = -12)
Distribute.
-2x + 4y = -24
Now subtract this from the other equation.
2x + 3y = 3
<u>-2x + 4y = -24</u>
7y = -21
Divide both sides by 7.
y = -3
Now that we have the value of y, plug it into the original equation.
-x + 2(-3) = -12
Simplify.
-x - 6 = -12
Add 6 to both sides.
-x = -6
Divide both sides by -1.
x = 6
(6, -3)
A- 10.5
B- 5.25
is what the answers are
Answer:
u
Step-by-step explanation:
8
X + y is the number of students who were surveyed.
x is the number who own a bike.
y is the number who don't.
the ratio of the ones who own a bike and the ones who were surveyed is x / (x + y)
that ratio is 7/8.
you get x / (x + y) = 7/8
multiply both sides of this equation by (x + y) to get x = (x + y) * 7/8
simplify to get x = 7/8 * x + 7/8 * y
subtract 7/8 * x from both sides of this equation to get:
1/8 * x = 7/8 * y
solve for x to get x = 7 * y
this means that the number of students who own a bike is 7 times the number of students who don't.
divide both sides of that equation by y to get x/y = 7/1.
that means that the ratio of students who own a bike to the number of students who don't is equal to 7/1.
the problem states that the difference between the number who own a bike and the number who don't is 72.
this means that x - y = 72
from the equation of x = 7 * y, replace x with 7 * y in the equation of x - y = 72 to get:
7 * y - y = 72
simplify to get 6 * y = 72
divide both sides of that equation by 6 to get y = 72/6 = 12
this means that the number of students who do not own a bike is 12.
since x = 7 * y, then x = 7 * 12 = 84.
this means that the number of students who own a bike is 84.
since the number of students is x + y, this means that the number of students who were surveyed is 84 + 12 = 96.
let's see if this is right.
96 students were surveyed.
84 own a bike and 12 don't.
the difference between the ones who own a bike and the ones who don't is 84 - 12 = 72.
the ratio of the ones who own a bike and the number surveyed is 84/96 = 7/8.
solution is 96 students were surveyed.
Answer:D’ (0, -1)
Step-by-step explanation:
