All categories

3 years ago

3x = y and x - 2y = 10

Mathematics

1 answer:

Svetlanka [38]3 years ago

6 0

Answer: Rewrite equations:

3x=y;x−2y=10

Step: Solve3x=yfor y:

3x=y

3x+−y=y+−y(Add -y to both sides)

3x−y=0

3x−y+−3x=0+−3x(Add -3x to both sides)

−y=−3x

−y

−1

−3x

−1

(Divide both sides by -1)

y=3x

Step: Substitute3xforyinx−2y=10:

x−2y=10

x−23x=10

−5x=10(Simplify both sides of the equation)

−5x

−5

(Divide both sides by -5)

x=−2

Step: Substitute−2forxiny=3x:

y=3x

y=(3)(−2)

y=−6(Simplify both sides of the equation)

Step-by-step explanation:

You might be interested in

The first term of a geometric sequence is 1, and the common ratio is 10. What is the 10th term of the sequence?

lys-0071 [83]

T(10)=1(10)^9=1000000000

7 0

3 years ago

A top view sink is in the shape of a semicircle. (it's 50 inches)

lys-0071 [83]

Answer:

we are not able to answer this because you did not put answers nor a question

8 0

3 years ago

Read 2 more answers

Name the intersection of planes DCG and EFG

cupoosta [38]

GH would be the intersection in this case. This is the place where the planes come together. An intersection is where two things come together. This enables an object to create a shape like a box and gives support to the sides that mesh.

7 0

3 years ago

Fiona wrote the linear equation y = 2/5 x – 5. When Henry wrote his equation, they discovered that his equation had all the same

Hoochie [10]

we have

$y=\frac{2}{5}x-5$

Let's Isolate the variable y in each of the cases and then compare with Fiona's equation to determine the solution of the problem

case A) $x-\frac{5}{4}y= \frac{25}{4}$

Multiply by $4$ both sides

$4x-5y= 25$

$5y=4x-25$

Divide by $5$ both sides

$y=\frac{4}{5}x-5$

therefore

the case A) is not equal to Fiona's equation

case B) $x-\frac{5}{2}y= \frac{25}{4}$

Multiply by $4$ both sides

$4x-10y= 25$

$10y=4x-25$

Divide by $10$ both sides

$y=\frac{2}{5}x-2.5$

therefore

the case B) is not equal to Fiona's equation

case C) $x-\frac{5}{4}y= \frac{25}{2}$

Multiply by $4$ both sides

$4x-5y= 50$

$5y=4x-50$

Divide by $5$ both sides

$y=\frac{4}{5}x-10$

therefore

the case C) is not equal to Fiona's equation

case D) $x-\frac{5}{2}y= \frac{25}{2}$

Multiply by $2$ both sides

$2x-5y= 25$

$5y=2x-25$

Divide by $5$ both sides

$y=\frac{2}{5}x-5$

therefore

the case D) is equal to Fiona's equation

the answer is

$x-\frac{5}{2}y= \frac{25}{2}$

7 0

3 years ago

Read 2 more answers

Find the number of meters each record holder ran in one second of each event. Round to the nearest tenth.

eimsori [14]

To find the answers to each you have to divide the total distance by the total time to get the answer in meters/sec, which would be distance run per sec.
A. 200m/19.30sec = 10.36 meters per second
B. 400m/43.18sec = 9.26 meters per second
C. 100m/9.69sec = 10.32 meters per second

3 0

3 years ago

3x = y and x - 2y = 10​

3x = y and x - 2y = 10