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olga nikolaevna [1]
4 years ago
9

How do you solve this equation ( ASAP PLS )

Mathematics
1 answer:
makvit [3.9K]4 years ago
8 0
<span>Solve this by substitution:

</span>Solve 5x - 4y = -13 for x:<span><span><span><span>5x </span>− <span>4y </span></span>+ <span>4y </span></span>= -<span>13 + <span>4y     </span></span></span>(Add 4y to both sides)
<span><span><u>5x  </u></span>= <span><span><u>4y - </u><u>13 </u></span><u> </u>  </span></span>(Divide both sides by 5)
 5          5

<span>x = <span><span><span><u>4</u></span> y </span>+ -<span><u>13</u><span>
</span></span></span></span>      5        5
You can use https://www.mathpapa.com/algebra-calculator.html
5x - 4y = -13, 8x +10y = 12 (enter both equations with a comma between them and it will solve for you and show you step by step.


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3 A buoy is 30 feet from the shore. You swim 3/5 the way to the buoy. How much farther do you have to swim to reach the buoy?​
disa [49]

Answer:

12 feet

Step-by-step explanation:

30 divided by 5= 6

6 times 3= how far youve already swam(18 feet)

6 times 2= how far you have left(12 feet)

8 0
3 years ago
jar contains pink and green marbles in the ratio 3 : 4. When John replaces 5 of the green marbles with 8 pink marbles, the ratio
nikklg [1K]

Answer:

52:49

Step-by-step explanation:

pink:green

The ratio of pink to green marbles is

3k:4k

He removes 5 green marbles and adds 8 pink marbles.

Now the ratio of pink to green marbles is

(3k + 8):(4k - 5)

This rario is equal to 29:23.

(3k + 8)/(4k - 5) = 29/23

29(4k - 5) = 23(3k + 8)

116k - 145 = 69k + 184

47k = 329

k = 7

Original amounts:

3 * k = 3 * 7 = 21 pink

4 * k = 4 * 7 = 28 green

Original total = 21 + 28 = 49

Amounts after replacement:

3k + 8 = 3(7) + 8 = 29 pink

4k - 5 = 4(7) - 5 = 23 green

Total after replacement = 23 + 29 = 52

Answer: The ratio of the total number of marbles in the jar after replacement to the total number of marbles in the jar originally is 52:49.

8 0
3 years ago
The price of commodity a is 4500 and increases at the rate of $6 every three months. Commodity b costs $5400 and increases at ra
ivanzaharov [21]
Let x be the months and y be the cost.

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Equation:
y = 2x + 4500

Rate of increase of commodity B = 2/4 = $0.5 per month
Equation:
y = 0.5x + 5400

Equating the costs,
2x + 4500 = 0.5x + 5400
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Step-by-step explanation:

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