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(Lesson 11.2) Solve the real-world situation by using the substitution method. (2 points)3. Tank A has 35 gallons of water and is filling up at a rate of 5 gallons per minute. Tank B has 100 gallons ofwater and is draining at a rate of 8 gallons per minute. The system of equations(= 100 – 8xSy = 35 + 5xused to represent this situation. In how many minutes will the tanks contain the same amount of water, andhow much water will that be?can be1

Lesson 112 Solve the realworld situation by using the substitution method 2 points3 Tank A has 35 gallons of water and is filling up at a rate of 5 gallons per class=


Answer :

ANSWER :

The tanks will have the same amount of water after 5 minutes.

EXPLANATION :

From the problem, we have system of two linear equations :

[tex]\begin{cases}y={35+5x} \\ y={100-8x}\end{cases}[/tex]

Where y is the amount of water and x is the time in minutes.

Equate both equations to solve for the time when the tanks contain the same amount of water.

That will be :

[tex]\begin{gathered} 35+5x=100-8x \\ 5x+8x=100-35 \\ 13x=65 \\ x=\frac{65}{13}=5 \end{gathered}[/tex]

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