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Sidana [21]
3 years ago
9

1. Solve the system of equations using the linear combination method.

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
8 0
The linear combination method involves multiplying, adding and subtracting in such a way that allows one variable to be eliminated in the addition or subtraction step. This leaves the other variable alone, allowing its value to be determined.

1. <span>5m+3n=41, 3m−6n=9
Multiply 1st equation by 2: 10m + 6n = 82
Add to 2nd equation: 13m = 91
Divide by 13: m = 7
Substitute back to 1st equation: n = 2
Therefore m = 7 and n = 2.

2. </span><span>6g+8h=40 −6g+2h=−20
Add both equations: 10h = 20
Divide by 10: h = 2
Substitute to 1st equation: g = 4
Therefore g = 4 and h = 2.

3. </span><span>9x+5y=35 2x+5y=0
Subtract 1st equation by the 2nd equation: 7x = 35
Divide by 7: x = 5
Substitute back to the 1st equation: y = -2
Therefore x = 5 and y = -2.
</span>
You might be interested in
Which data set is accurate and precise based on a correct value of 30?
Pepsi [2]

Answer:

Set 1: 30, 35, 32, 30, 29

Step-by-step explanation:

Let's first clarify what is accurate and precise:

Precise is based on how close two or more measured values are to each other. While something is said to be accurate, when the standard value values are close, which in our case is 30.

Therefore, we analyze each set:

Set 1: 30, 35, 32, 30, 29

This set is precise and accurate, since 2 values are 30 and all their values are close to each other.

Set 2: 15, 16, 12, 15, 14

This set is precise, because all of its values are close but not accurate.

Set 3: 19, 30, 78, 43, 30

This set is somewhat accurate because there are 2 values of 30, but it is not precise because its values are separate.

Set 4: 30, 30, 67, 12, 90

It is the same case of Set 3.

Therefore the answer is Set 1.

8 0
3 years ago
A taxi charges $1.75 plus a free of $0.75 for each mile traveled the total cost of a ride without a tip is, $4.75. How many mile
LiRa [457]

Answer:

<u>4 miles traveled</u>

Step-by-step explanation:

1.75 + 0.75m = 4.75.

4.75 - 1.75 = 3

3 ÷ 0.75 = 4

5 0
2 years ago
Read 2 more answers
Find the perimeter and area of a rectangle with a length of 3.2m and a width of 1.5m
Trava [24]
Area is multiplying the width and the length so
area= 3.2 × 1.5 = 4.8
and perimeter is adding all sides together so
perimeter= 3.2 + 3.2 + 1.5 + 1.5 = 9.4
3 0
2 years ago
Read 2 more answers
Kelly was baking bread but could only find her 1/8 cup measuring cup. She needs 1/4 cup sugar,3/4 cup whole wheat flour, and 1/2
irga5000 [103]

Answer:

Step-by-step explanation:

cups

for sugar=1/4÷1/8=1/4×8=2

whole wheat flour=3/4÷1/8=3/4×8=6

all purpose flour=1/2÷1/8=1/2×8=4

6 0
3 years ago
One of the factors of 34 is chosen at random. What is the probability that the factor is itself a two digit number?
solong [7]
A factor of 30 is chosen at random. What is the probability, as a decimal, that it is a 2-digit number?

The positive whole-number factors of 30 are:

1, 2, 3, 5, 6, 10, 15 and 30.

So, there are 8 of them. Of these, 3 have two digits. Writing each factor on a slip of paper, then putting the slips into a hat, and finally choosing one without looking, get that

P(factor of 30 chosen is a 2-digit number) = number of two-digit factors ÷ number of factors

=38=3×.125=.375
8 0
2 years ago
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