Answer:
After 4 months
Step-by-step explanation:
The cost at both the programs consists of a "fixed cost" (reg fee) & "variable cost" ( per month fee).
Let number of months be "x"
<u>Yo-Yoga:</u>
35 fixed
90 per month
So equation would be: 35 + 90x
<u>Essence Yoga:</u>
75 fixed
80 per month
So equation would be: 75 + 80x
To find number of month when cost would be same, we equate both equations and solve for x:
35 + 90x = 75 + 80x
10x = 40
x = 40/10
x = 4
hence, after 4 months, both cost would be same
Answer:
x=3, y=4. (3, 4).
Step-by-step explanation:
x+y=7
x+2y=11
--------------
-x-y=-7
x+2y=11
--------------
y=4
x+4=7
x=7-4
x=3
Answer:
c = - 2
Step-by-step explanation:
calculate the slope m using the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (8, 0) and (x₂, y₂ ) = (- 8, c)
m = 
= 
= 
cross- multiplying gives
8c = - 16 ( divide both sides by 2 )
c = - 2
Answer:
i cant see the graph
Step-by-step explanation:
1. substitution....because it would be easier to just sub one y in for the other then it would be to use the elimination method
2. substitution....because in one of the equations, u already have y...so just sub 6x - 13 in for y in the other equation
3. elimination....all u have to do is add them and ur y terms are eliminated, allowing u to find x
4. substitution....sub in x + 1 for y in the other equation
2x + 4(x + 1) = 28 y = x + 1
2x + 4x + 4 = 28 y = 4 + 1
6x = 24 y = 5
x = 4
the solution for this system is : (4,5)
5. elimination..
3x - y = -1 3(-2) - y = -1
2x + y = -9 -6 - y = -1
------------------add -y = -1 + 6
5x = -10 -y = 5
x = -2 y = -5
the solution to this system is : (-2,-5)
6. substitution.....sub in one y for the other
2/3x - 1 = -x + 4 y = -x + 4
2/3x + x = 4 + 1 y = -3 + 4
5/3x = 5 y = 1
x = 5 * 3/5
x = 3
so the solution to this system is (3,1)
7. substitution...sub one y in for the other
296 - 10x = 200 + 6x y = 200 + 6(6)
296 - 200 = 6x + 10x y = 200 + 36
96 = 16x y = 236
6 = x
so the solution for this system is (6,236)
