Answer:
see below
Step-by-step explanation:
6y = 12x + 26
15y = 45x + 60
First let's simplify these equations.
6y = 12x + 26
Divide each term by 6.
y = 2x + 26/6
Simplify the fraction.
26/6
= 13/3
Your simplified equation is:
y = 2x + 13/3
Let's simplify the other equation.
15y = 45x + 60
Divide each term by 15.
y = 3x + 4
These are your simplified equations.
y = 2x + 13/3
y = 3x + 4
We can see that the slope of the first equation is not equal to the slope of the second equation.
- equation 1: slope is 2 shown from 2x
- equation 2: slope is 3 shown from 3x
The y-intercept of the first equation is not equal to the y-intercept of the second equation.
- equation 1: y-intercept is 13/3 shown by + 13/3
- equation 2: y -intercept is 4 shown by + 4
Now we want to solve the equations.
Both equations are equal to y, so you can set them equal to each other.
2x + 13/3 = 3x + 4
Combine like terms.
1/3 = x
Plug x = 1/3 into both of the equations separately..
y = 2(1/3) + 13/3
y = 2/3 + 13/3
y = 15/3
y = 5
y = 3(1/3) + 4
y = 3/3 + 4
y = 1 + 4
y = 5
Your solution is (1/3, 5)
The system of equations has one solution.
Hope this helps!
Answer:
Each teacher will get 12 cookies and there will be 2 left over
Step-by-step explanation:
5 x 12 = 60
62 - 2 = 60
First car is x
second car is y
25x+30y=1550
x+y=55
Multiply the second equation by -25 for elimination method to cancel out x
-25x-25y=-1375
Add the two equations
5y=175
y=35
Plug this value into the second equation
x+35=55
x=20
Final answers:
First car=20 gallons
Second car=35 gallons
Easy what is 25-10?
it is 15. So your answer would be 0.15
Can I plz have brainliest?
