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2 years ago

Solve by using elimination 3x-2y=1. 8x+3y=2

1 answer:

3 0

Elminate the y's
multiiply first euation by 3 and multiply 2nd equation by 2 and ad them

9x-6y=3
16x+6y=4 +
25x+0y=7

25x=7
divide both sides by 25
x=7/25
sub back

3x-2y=1
3(7/25)-2y=1
21/25-2y=1
note: 1=25/25
minus 21/25 fromboth sides
-2y=4/25
divide both sides by -2 (or times -1/2)
y=4/-50
y=-2/25

x=7/25
y=-2/25

(-2/25,7/25)

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Tyler went to the grocery store and purchased cans of soup and frozen dinners. Each can of soup has 300 mg of sodium and each fr

Katena32 [7]

Answer:

Tyler purchased 10 cans of soup and 5 frozen dinners.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Amount of sodium per can of soup = 300 mg

Amount of sodium per frozen dinner = 550 mg

They all collectively contain 5,750 mg of sodium

Tyler purchased twice as many cans of soup as frozen dinners

2. Determine the number of cans of soup purchased and the number of frozen dinners purchased.

Let s to represent the number of cans of soup Tyler purchased

Let d to represent the number of frozen dinners Tyler purchased

Let's write our equation of systems:

s = 2d (1st equation)

300s + 550d = 5,750 (2nd equation)

************************************************

Substituting s and solving for d in the 2nd equation:

300s + 550d = 5,750

300 * 2d + 550d = 5,750

600d + 550d = 5,750

1,150d = 5,750

d = 5,750/1,150

d = 5 ⇒ s = 2 * 5 = 10

Tyler purchased 10 cans of soup and 5 frozen dinners.

Let's prove d = 5 and s = 10 are correct:

300 * 10 + 550 * 5 = 5,750

3,000 + 2,750 = 5,750

5,750 = 5,750

We proved d = 5 and s = 10 are correct

3 0

3 years ago

5/12 - 2/5 in fraction form

fgiga [73]

5/12-2/5=25/60-24/60
1/60

the answer is 1/60

3 0

2 years ago

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Find the measure of a dilated image of segment CD, 5 units long, with a scale factor of 4?

Amiraneli [1.4K]

The measure would be 20 since five times four is 20

8 0

2 years ago

Kendra had twice as much money as kareem. Kendra later spent $8 and kareem earned $6. By then,the two had the same amount of mon

Svet_ta [14]

Answer:

x = 2y

x - 8 = y + 6

replace x by 2y in the second equation

2y - 8 = y + 6

y - 8 = 6

y = 14

x = 2*14 = 28

Kendra had $28 and Kareem had $14.

6 0

3 years ago

Which number line model represents the expression-1/2+5/4

LUCKY_DIMON [66]

Answer:

Step-by-step explanation:

7 0

2 years ago

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