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2 years ago

What is the solution to this system of equations 3x+y=17 X+2y=49

Mathematics

1 answer:

NeX [460]2 years ago

4 0

Answer:

x=−3 and y=26

Step-by-step explanation:

Let's solve your system by substitution.

3x+y=17;x+2y=49

Step: Solve 3x+y=17 for y:

3x+y=17

3x+y+−3x=17+−3x(Add -3x to both sides)

y=−3x+17

Step: Substitute−3x+17 for y in x+2y=49:

x+2y=49

x+2(−3x+17)=49

−5x+34=49(Simplify both sides of the equation)

−5x+34+−34=49+−34(Add -34 to both sides)

−5x=15

-5x/5 = 15/-5 (Divide both sides by -5)

x=−3

Step: Substitute −3 for x in y=−3x+17:

y=−3x+17

y=(−3)(−3)+17

y=26(Simplify both sides of the equation)

<u>Answer:</u>

x=−3 and y=26

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Read 2 more answers

A company that offers tubing trips down a river rents tubes for a person to use for $20 and “cooler” tubes to carry food and wat

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Step-by-step explanation:

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Total spent = $270

Total tubes rented = 15

Let,

x be the number of river rent tube.

y be the number of cooler tubes.

According to given statement;

x+y=15 Eqn 1

20x+12.50y=270 Eqn 2

Multiplying Eqn 1 by 20

$20(x+y=15)\\20x+20y=300\ \ \ Eqn\ 3$

Subtracting Eqn 2 from Eqn 3

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Dividing both sides by 7.5

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Putting y=4 in Eqn 1

$x+4=15\\x=15-4\\x=11$

The group rent 11 river rent tubes and 4 cooler tubes.

Keywords: linear equations, subtraction

Learn more about linear equations at:

#LearnwithBrainly

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