System of Linear Equations entered :
[1] 5x - 6y = 7
[2] 6x - 7y = 8
Graphic Representation of the Equations :
-6y + 5x = 7 -7y + 6x = 8
Solve equation [2] for the variable x
[2] 6x = 7y + 8
[2] x = 7y/6 + 4/3
// Plug this in for variable x in equation [1]
[1] 5•(7y/6+4/3) - 6y = 7
[1] - y/6 = 1/3
[1] - y = 2
// Solve equation [1] for the variable y
[1] y = - 2
// By now we know this much :
x = 7y/6+4/3
y = -2
// Use the y value to solve for x
x = (7/6)(-2)+4/3 = -1
Answer:
Per child admission costs $8.5
Per Adult admission costs $13.5
Step-by-step explanation:
Let x be the amount of admission per child and y be the amount of admission per adult
For Tom's party:
13x+2y=137.50 (Equation 1)
For Lisa's Party:
9x+2y=105.50 (Equation 2)
Using Elimination Method:
Add Equation 1 & 2
13x+2y=137.50
9x+2y=105.50
- - = - (Change of Signs)
---------------------------------
4x+0y=34.00
x=34/4
x=8.5
Putting the value of x in Equation 2
13(8.5)+2y=137.50
110.5+2y=137.50
2y=137.50-110.50
2y=27
y=27/2
y=13.5
Answer:
75cm^2
Step-by-step explanation:
The formula for the area of a parallelogram is the same as a rectangle. lw=A
Answer:
$720
Step-by-step explanation:
I (Interest) = P (principal) x R (rate) x T (time, in years)
I = 8000 x .03 x 3
I = 720
