haza1873
17.02.2021 •
Mathematics
Pls I need help this assignment is done before 11:59pm.
Solving systems of equations using substitution.
Can you also explain cause I didn’t understood that much.
Thanks.
Solved
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Ответ:
Answers:
Blank 1 = 3Blank 2 = 3In other words, x = 3 and y = 3
Explanation:
Let's solve the first equation for x. I'm picking on this equation variable because the coefficient is 1.
Solving for x leads to
x-2y = -3
x = -3+2y
I added 2y to both sides
Now we'll plug this into the other equation. This means we replace every copy of x with -3+2y since they are the same thing.
3x + 5y = 24
3( x ) + 5y = 24
3( -3+2y ) + 5y = 24 replace x with -3+2y
3(-3) + 3(2y) + 5y = 24 distribute
-9 + 6y + 5y = 24
11y-9 = 24
11y-9+9 = 24+9 adding 9 to both sides
11y = 33
11y/11 = 33/11 dividing both sides by 11
y = 3
We'll use this y value to find x. We can pick on any equation with x & y in it, but I find it's easiest to use the equation where x is isolated
x = -3+2y
x = -3+2(3) replace y with 3
x = -3+6
x = 3
So both x and y are equal to 3
Let's check the answer
Plug (x,y) = (3,3) into the first equation. We should get the same number on both sides after simplifying fully
x-2y = -3
3 - 2(3) = -3
3 - 6 = -3
-3 = -3
So far, so good. Let's try the other equation
3x + 5y = 24
3(3) + 5(3) = 24
9 + 15 = 24
24 = 24
The other equation is true as well. This fully confirms that (x,y) = (3,3) is the solution to this system of equations. If you graphed each original equation, you should find they cross at the location (3,3).
Side note: it won't always be the case that x and y are the same value.
Ответ:
A device tests whether each blinker on a car is functioning properly. A company estimates that 2.8% of blinkers that they produce are defective. The device is 98% accurate for blinkers that are functioning properly and 96% accurate for blinkers that are defective. You use the device to test a randomly selected blinker. What is the probability that the test result is correct?
Step-by-step explanation:SRRY had to meme a little bit it's 40%