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ale4655 [162]
3 years ago
15

Solve system using linear combination. 5x + 3y = 41 and 3x - 6y = 9 show all work.

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
7 0

Answer:

(7,2)

Step-by-step explanation:

5x + 3y = 41

3x - 6y = 9

Multiply the first equation by 2

2(5x + 3y) = 41 *2

10x +6y = 82

Add this to the second equation

10x +6y = 82

3x - 6y = 9

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

13x = 91

Divide by 13

13x/13 = 91/13

x=7

Now we can find y

5x+3y = 41

5(7) +3y =51

35+3y=41

Subtract 35 from each side

35-35+3y=41-35

3y = 6

Divide by 3

3y/3 = 6/3

y=2

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Robert has 17 lb of grain he would like to put into sacks. Each sack will hold three pounds. How many sacks will he need?
satela [25.4K]

Answer:

6

Step-by-step explanation:

17/3=5.67

since you can't have 0.67 sack. you just round it up to 6

5 0
3 years ago
Read 2 more answers
Given: A(12,9), B(-2,-5) Find: M​
VARVARA [1.3K]

Answer:

<h2>M = ( 5 , 2)</h2>

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

M = ( \frac{x1 + x2}{2}  , \:  \frac{y1 + y2}{2} )

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A(12,9), B(-2,-5)

The midpoint M is

M  =  (\frac{12 - 2}{2} , \:  \frac{9 - 5}{2} ) \\  = ( \frac{10}{2} , \:  \frac{4}{2} )

We have the final answer as

<h3>M = ( 5 , 2)</h3>

Hope this helps you

4 0
3 years ago
Read 2 more answers
How do I solve this?
miss Akunina [59]
1 i think 1 is the answer
3 0
3 years ago
Find the midpoint of the segment with the following endpoints.
sergij07 [2.7K]

Answer:

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Step-by-step explanation:

Use mid point formula shown in image

first x= (X+X)/2

x=(4+7)/2

x=11/2

x=5.5

y=(Y+Y)/2

y=(2+6)/2

y=8/2

y=4

(5.5,4)

4 0
3 years ago
Theater m has 25 rows with 27 seats in each row. how many of the seats were occupiedduring a certain show?(1) during the show, t
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1) 475
2)375
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5 0
3 years ago
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