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sveta [45]
3 years ago
6

What is the solution of the system of equations y=2/3x+5 7x-3y=15

Mathematics
1 answer:
alisha [4.7K]3 years ago
5 0

Answer:

(6, 9)

Step-by-step explanation:

Plug in 2/3x + 5 as y into 7x - 3y = 15

7x - 3(2/3x + 5) = 15

7x - 2x - 15 = 15

Add like terms:

5x - 15 = 15

5x = 30

x = 6

Then, plug in 6 as x into y = 2/3x + 5 to solve for y:

y = 2/3x + 5

y = 2/3(6) + 5

y = 9

So, the solution to the system of equations is (6, 9)

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A scientist mixes water (containing no salt) with a solution that contains 35% salt. She wants to obtain 105 ounces of a mixture
Naya [18.7K]

Answer:

60 oz of water to add

45 oz of 35% salt solution should be used

Step-by-step explanation:

Let x = amt no. ounces in the first solution

and  105 - x = amt no. of ounces in the second solution

Ist solution contains 0% salt

2nd solution contains .35(105 - x) salt

.15(105= amt of salt in mix

So.

amt of salt in 1st solution + amt of salt in 2nd solution = amt of salt in the mix

0 + .35(105 - x) = .15(105)

Let's get rid of the fractions by multipying thru the equation by 100

35(105 - x) = 15(105)

3675 - 35x = 1575

-35x = -2100

x = 60 oz of water to add

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7 0
3 years ago
What is the distributative answer to 85 divided by 5 answer
andrew11 [14]
85/5
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50/5 + 35/5
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6 0
3 years ago
249798.828806 rounded to the nearest ten
NNADVOKAT [17]

Answer: 249800

Step-by-step explanation:

Uhh you round it.

5 0
2 years ago
H -7/J = k solve for J
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3 years ago
Sally has a discount card that reduces the price of her grocery bill in a certain grocery store by 6%. If c represents the cost
Nitella [24]

Answer:

Step-by-step explanation:

c - 0.06c = 0.94c

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3 years ago
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