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3 years ago

How do you solve system of eqautions using substitution

1 answer:

8 0

Well basically you are plugging in variables. Lets use a random but simple system of equations.
y = 2x - 3
6x + 8y = 20
Now you need to plug in the top equation, which equals y, into the bottom equation.
6x + 8(2x - 3) = 20
6x + 16x - 24 = 20
Combine like terms.
22x - 24 = 20
Add 24 to both sides.
22x = 44
Divide.
x = 2
Now plug in 2 in any of the original equations.
y = 2x - 3
y = 2(2) - 3
y = 4 - 3
y = 1
So your solution is (2,1). And thats how you use substitution.
I hope this helps love! :)

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Suppose a shipment of 190 electronic components contains 3 defective components. To determine whether the shipment should be ac

PolarNik [594]

Answer:

0.0467

Step-by-step explanation:

Probabilty of being defective is $\frac{3}{190}$

So probability of being good is $\frac{187}{190}$

Now,

Probability that all 3 of them are good is:

$\frac{187}{190}^{3}=0.9533$

Now, to find probability of rejection, we subtract the now found probability from 1. Thus, we have:

1 - 0.9533 = 0.0467

5 0

2 years ago

A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to spli

Rudik [331]

Answer:

1) The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill.

2) The solution x=60 represents the total food bill.

These both answers are correct.

Step-by-step explanation:

Since there are 8 group of friends, and the total amount spent by them is $76 including the tip i.e $16.

If x is the food bill our equation can be:

(x+16)/8 = 76/8

Solving the equation

(x+16)/8 = 9.5

x+16= 9.5*8

x= 76 -16

x= 60

The food bill is x=60.

6 0

3 years ago

Read 2 more answers

6,750 is what percent of 9,000

Ierofanga [76]

Answer:

75%

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Find the solution to the system of equations -3x-9y=18 4x+3y=12

chubhunter [2.5K]

Answer:

(6,-4)

Step-by-step explanation:

-3x-9y = 18 (equation 1)

4x+3y = 12 (equation 2)

multiply equation 2 by 3, and add it to equation 2

-3x-9y = 18

12x+9y = 36

-----------------

X's cancel out

9x = 54

Divide both sides by 9

x = 6

Plug in 6 for x in any of the original equations

(Plugging into Equation 2)

4(6)+3y = 12 Multiply 4(6)

24+3y = 12 Subtract 24 from both sides

3y = -12 Divide 3 on both sides

y = -4

Therefore the solution is (6,-4).

6 0

3 years ago

7th grade math plsssssss help

Aloiza [94]

Answer:

Step-by-step explanation:

length(l)=8cm

breadth(b)=2cm

height(h)=4cm

volume=l×b×h

=8cm×2cm×4cm

=64cm³

5 0

2 years ago