Answer:
a: no solutions
b: (2, 3)
Step-by-step explanation:
a:
In both equations, the slope of x is the same, but the y-intercept is not, which means they are parallel. Therefore, this system of equations has no solutions.
b:
Since both of the equations are equal to y, we can set them equal to each other:

We can solve by factoring (by finding a number that multiplies to 4 and adds up to -4):
(x-2)^2 = 0
x = 2
Now, to find y, plug-in x to any of the equations:
y = 2*2-1 = 3
Therefore, the solution to this system of equation is (2, 3)
I hope this helped.
Answer:
2x + 4y = 32
4x + 3y = 44
Step-by-step explanation:
From the information supplied in the question, we can see that 2 adult tickets and 4 child tickets cost $32. This means we multiply the cost of an adult ticket by 2 and add it to the product of 4 child tickets and its price I.e y.
We can also see that to get a total cost of $44, 4 adult tickets and 3 child tickets were bought. Hence, we simply multiply the cost of an adult ticket by 4 and add it to the product of 3 child ticket and its price
<h2>Hello my friend.</h2>
The Pi value is approximately equal to 3.14.
<h2>I hope I have helped a lot.</h2>
Answer:
=24.5%
Step-by-step explanation:
- Simple interest = (principal×rate×time)÷100. *brackets first*
- transpose the formula to make rate the subject: rate= (100×simple interest) ÷ (principal×time)
- plug in values: rate = (100×37975) ÷ (31000×5)
- the result is 24.5%
7/10 > 4/10 because 7/10 is bigger than 4/10
7/10 = 0.7
4/10 = 0.4