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3 years ago

How many solutions does the system of equations have x-2y=6 and 3x-6y=18

Mathematics

2 answers:

Ymorist [56]3 years ago

8 0

Solve for x in X-2 (x=8)
Substitute X=8 into 3x - 6y =18 (24-6y=18)
Solve for y in 24-6y=18 (y=1)
X=8 and y=1

tigry1 [53]3 years ago

8 0

2y=6
3x-6y=18
Divide first equation by 2: y=3
Substitute y=3 into second equation: 3x-6(3)=18
Solve for x: 3x=36 x=12

Therefore there is only one solution: x=12 y=3

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Please answer this for 15 points :) <333

lions [1.4K]

Answer:

Elena can run 3 miles per hour.

Step-by-step explanation:

Given that:

a circular running track = 1/5 mile

On this track, Elena runs completing each of the laps in 1/15 of an hour

We are to find Elena running speed.

It implies that the distance of Elena = $\dfrac{1}{5}$

Time to run each lap = $\dfrac{1}{15} \ of \ an \ hour$

Speed is the amount of distance covered in a specified period of time.

Recall that the formula for calculating speed is:

$Speed = \dfrac{distance}{time}$

$Speed = \dfrac{\dfrac{1}{5}}{\dfrac{1}{15}}$

$Speed ={\dfrac{1}{5}\times \dfrac{15}{1}$

Speed = 3miles / hour

As such, Elena can run 3 miles each hour.

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3 years ago

Solve for L:<br> P=2L+2W

Korvikt [17]

Answer:

$L=\frac{1}{2}P-W$

Step-by-step explanation:

Let's solve for L.

$P=2L+2W$

Step 1: Flip the equation.

$2L+2W=P$

Step 2: Add $-2W$ to both sides.

$2L+2W+-2W=P+-2W$

$2L=P-2W$

Step 3: Divide both sides by $2$ .

$\frac{2L}{2}=\frac{P-2W}{2}$

$L=\frac{1}{2}P-W$

Answer:

$L=\frac{1}{2}P-W$

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3 years ago

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scZoUnD [109]

C

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3 years ago

A bag contains 12 marbles that are the same shape and same size.

lina2011 [118]

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Step-by-step explanation:

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3 years ago

A student runs 100 meters in 11 seconds. What is the speed of the student? speed = distance over time; 1 mile = 1609 meters

elena-14-01-66 [18.8K]

S=D/T D=100m T=11 100/11=9.1m/s^2

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3 years ago