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kykrilka [37]
3 years ago
12

SOLVE THE SYSTEM USING ELIMINATION!!!! HURRY ILL GIVE BRAINLIEST!!

Mathematics
2 answers:
vesna_86 [32]3 years ago
7 0

Answer:

x=5 \\y=3

Step-by-step explanation:

-2x+3y=-1\\2x+5y=25

Add these equations to eliminate x:

8y=24

Then, solve 8y=24 for y:

8y=24

\frac{8y}{8} =\frac{24}{8} (divide both sides by 8)

y=3

Now let's find the value of x:

Substitute 3 for y in -2x+3y=-1

-2x+(3)(3)=-1

-2x+9=-1 (simplify both sides of the equation)

-2x+9+-9=-1+-9 (add both sides by -9)

-2x=-10

\frac{-2x}{-2} =\frac{-10}{-2}  (divide both sides by -2)

x=5

Therefore, the value of x = 5 and y = 3

Neporo4naja [7]3 years ago
4 0

Answer:

(5,3)

Step-by-step explanation:

add the equations to eliminate to x's and get 8y=24

divide both sides by 8 to get y=3

then substitute in -2x+3(3)=-1 to solve for x

so x=5 so the solution is (5,3)

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Answer:

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Step-by-step explanation:

5 0
3 years ago
An island is 1 mi due north of its closest point along a straight shoreline. A visitor is staying at a cabin on the shore that i
Elanso [62]

Answer:

The visitor should run approximately 14.96 mile to minimize the time it takes to reach the island

Step-by-step explanation:

From the question, we have;

The distance of the island from the shoreline = 1 mile

The distance the person is staying from the point on the shoreline = 15 mile

The rate at which the visitor runs = 6 mph

The rate at which the visitor swims = 2.5 mph

Let 'x' represent the distance the person runs, we have;

The distance to swim = \sqrt{(15-x)^2+1^2}

The total time, 't', is given as follows;

t = \dfrac{x}{6} +\dfrac{\sqrt{(15-x)^2+1^2}}{2.5}

The minimum value of 't' is found by differentiating with an online tool, as follows;

\dfrac{dt}{dx}  = \dfrac{d\left(\dfrac{x}{6} +\dfrac{\sqrt{(15-x)^2+1^2}}{2.5}\right)}{dx} =  \dfrac{1}{6} -\dfrac{6 - 0.4\cdot x}{\sqrt{x^2-30\cdot x +226} }

At the maximum/minimum point, we have;

\dfrac{1}{6} -\dfrac{6 - 0.4\cdot x}{\sqrt{x^2-30\cdot x +226} } = 0

Simplifying, with a graphing calculator, we get;

-4.72·x² + 142·x - 1,070 = 0

From which we also get x ≈ 15.04 and x ≈ 0.64956

x ≈ 15.04 mile

Therefore, given that 15.04 mi is 0.04 mi after the point, the distance he should run = 15 mi - 0.04 mi ≈ 14.96 mi

t = \dfrac{14.96}{6} +\dfrac{\sqrt{(15-14.96)^2+1^2}}{2.5} \approx 2..89

Therefore, the distance to run, x ≈ 14.96 mile

6 0
3 years ago
The value of the 5 in the ones place in the number 5,555 is how many times as much as the value of the 5 in the hundred place?
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100 times, because 5 times 100 equals 500
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4 years ago
Pls help me with this
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Answer:

Step-by-step explanation:

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10. complement --> the amount in only one of teh sets

intersection --> the amount in both sets

11. 14 or -14

13. 46 1/2

14. 2 31/120

15. 1100% profit

16. 1200 gm

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18. 6000 per year

6 0
2 years ago
Margaret is a waitress at The Seafood Bonanza. She earns $3 an hour plus 90% of her tips. Write an equation for her salary, S, i
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Answer: 3h + 0.9s

Step-by-step explanation:

90% is the same as 0.9 of..

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3 years ago
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