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3 years ago

What is the solution? Please show your work. 4x+5y=70 3x-2y=18

Mathematics

1 answer:

pishuonlain [190]3 years ago

5 0

Answer:

(x,y)=(10,6)

Step-by-step explanation:

Substitute the value of x into the equation {4x+ 5= 70

{x= 6+ 2/3y

solve the equation 4(6+2/3y) +5y = 70

substitute the value of y into the equation y=6

solve the equation x=6 + 2/3 times 6

A possible solution is x= 10

Check the solution (x,y) = (10 ,6)

Simplify {4 times 10 + 5 times 6 =7

{3 times 10 - 2 times 6 = 18

The ordered pair is a solution {70 = 70

{18 =18

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3 years ago

Easy question.<br><br> Solve the inequality -5x<40

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$\huge\text{Hey there!}$

$\mathsf{-5x < 40}$

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3 years ago

Quadrilateral ABCD is inscribed in this circle. What is the measure of ∠A?

mamaluj [8]

Answer:

Step-by-step explanation:

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2 years ago

Ruben put an empty cup underneath a leaking faucet. After 1 1/2 hours, Ruben had collected 1/4 cup of water. What is the rate, i

worty [1.4K]

Answer:

The rate is $\frac{1}{6}$ cups per hour

Step-by-step explanation:

It took the faucet 1 1/2 hours, i.e 1.5 or 3/2 hours to fill 1/4 cup by leaking

We need to find the rate in terms of cups that can be filled by water in 1 hour.

Using unitary method:

If it takes $\frac{3}{2}$ h for $\frac{1}{4}$ cup;

then it will take 1 h for how many cups?

$= \frac{1 \times \frac{1}{4} }{\frac{3}{2} }$

$= \frac{2}{4 \times 3}$

$= \frac{2}{12}$

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Therefore, the rate is $\frac{1}{6}$ cups per hour

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3 years ago

Nando is on a rehabilitation program following a car accident. For the first month, he needs to exercise at most five hours per

emmasim [6.3K]

Answer:

See explanation

Step-by-step explanation:

Let x be the number of hours per week Nando is brisk walking and y be the number of hours per week Nando is biking at a moderate pace.

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You get the system of two inequalities:

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The attached graph shows the solution set to this system of inequalities. In this diagram, red region represents the solution set to the first inequality, blue region represents the solution set to the second inequality and their intersection is the solution set to the system of two inequalities.

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3 years ago