The given system of equations 4x + 4y = 32 and 3x + 24 = 3y has only one solution
<u>Solution:</u>
Given, system of equations are:
4x + 4y = 32 ---- eqn (1)
3x + 24 = 3y ----- eqn (2)
We have to determine whether the system has one solution, no solution, or infinitely many solutions.
Now let us solve the given system of equations to determine.
Now, eqn (1) can be written as,
4(x + y) = 32
x + y = 8
x = 8 – y
So, substitute "x" value in eqn (2) to get the value of "y"
3(8 – y) + 24 = 3y
24 – 3y + 24 = 3y
48 = 3y + 3y
y = 8
Then, x = 8 – 8 = 0
Hence we got x = 0 and y = 8
Hence, the given system of equations has only one solution (x, y) = (0, 8)
Answer:
A
Step-by-step explanation:
4x +3y = 7.43
5x +2y = 7.03
8x +6y = 14.86
-15x -6y = -21.09
-7x = -6.23
x = 0.89
The answer is A
Answer:
225
Step-by-step explanation:
5^-2 can be rewritten as 1/25.
Then we can divide 1/25 by 9. 9/(1/25)= 225
Answer:
1. A 2. B
Step-by-step explanation:
Whatever happens to x must also happen to y.
For the first question, x is doubled, which means that the value of y is also doubled.
For the second question, if the value of x triples, then the value of y triples as well, which means that it would be multiplied by 3.
We can check to see if these two answers are true by inputting values into the equations.
For the first equation, let's use the example x = 2
y = 5(2)
y = 10
If the value if x doubled, it would become x = 4
y = 5(4)
y = 20
As you can see, when the value of x doubled from 2 to 4, the value of y also doubled from 10 to 20.
You can do something similar for the other equation.
Answer:
Step-by-step explanation:
∠E = 1/2 (mCD - mAB)
<u>Where mCD = 110° and mAB = 30°</u>
∠E = 1/2 (110° - 30°)
∠E = 1/2 (80°)
∠E = 40°
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3>~AH1807</h3>
