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Finger [1]
3 years ago
15

Linear system word problem

Mathematics
1 answer:
jeka57 [31]3 years ago
3 0
Drinks, x, and popcorn, y.
38.75 = 5x+2y
37.25 = 3x + 4y
Let's solve this using the elimination method
subtract the 2nd row from the first
<span>7x=40.2<span>5
divide both sides by 7 to isolate x
</span></span><span>x=5.7<span>5

Substitute x into an equation
</span></span><span><span>10(5.75)+4y=77.5
multiply
</span></span>57.5+4y=77.<span>5
subtract 57.5 from both sides
</span>4y=77.5−57.<span>5
Simplify
</span>4y=2<span>0
divide both sides by 4 to isolate y
y = 5

To check you would plug x and y into the equations and see if it equals properly...

The price of drinks is $5.75, the price of popcorn is $5.

Hope this helps 
</span>
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Which equation is a step in solving the equation 5 - 3x + 2 = 19?
Leni [432]

Answer:

D. 5-3x = 17

Step-by-step explanation:

The step carried out was subtracting 2 from both sides.

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4 0
4 years ago
15x^2 + 41x + 28 <br><br>STEP BY STEP ANSWER PLSSS​
maria [59]

Answer:

(3x+4)(5x+7)

Step-by-step explanation:

15x^2 +41x+28

Factor the expression by grouping. First, the expression needs to be rewritten as 15x^2 +ax+bx+28. To find a and b, set up a system to be solved.

a+b=41

ab=15×28=420

Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 420.

1,420

2,210

3,140

4,105

5,84

6,70

7,60

10,42

12,35

14,30

15,28

20,21

Calculate the sum for each pair.

1+420=421

2+210=212

3+140=143

4+105=109

5+84=89

6+70=76

7+60=67

10+42=52

12+35=47

14+30=44

15+28=43

20+21=41

The solution is the pair that gives sum 41.

a=20

b=21

Rewrite 15x^2 +41x+28 as (15x^2 +20x)+(21x+28).

(15x^2 +20x)+(21x+28)

Factor out 5x in the first and 7 in the second group.

5x(3x+4)+7(3x+4)

Factor out common term 3x+4 by using distributive property.

(3x+4)(5x+7)

7 0
3 years ago
Read 2 more answers
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