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

Can you check if i did? (I think that stupid in math)

Leto [7]

Yes you did it right

4 0

3 years ago

Read 2 more answers

Lisa bucket weighs 21kg after pouring out half it weigh 12kg what’s the wight of the bucket?

zhuklara [117]

Answer:

Step-by-step explanation:

9kg

4 0

3 years ago

Aaron wants to make a path to guide guest through the conservation area.He uses rolls of rope to make the path.He uses 3/4 of a

mel-nik [20]

Answer:

Aaron needs 2 more rolls to complete the path.

Step-by-step explanation:

Given:

Total rolls Aaron has = 4

Part of path covered by using $\frac{3}{4}$ of a roll = $\frac{1}{8}$

So, in order to find the number of rolls required to cover the complete path is given using the unitary method.

Rolls used for $\frac{1}{8}$ of a path = $\frac{3}{4}$

Therefore, rolls used to cover the whole path is given by dividing the rolls used for one-eighth of the path and the path covered. This gives,

$=\frac{3}{4}\div \frac{1}{8}$

$=\frac{3}{4}\times \frac{8}{1}$

$=\frac{3\times 8}{4\times 1}$

$=\frac{24}{4}$

$=6\ rolls$

Now, rolls required to complete the path is 6. But Aaron has only 4 rolls.

So, he will need 6 - 4 = 2 rolls more to complete the path.

5 0

3 years ago

A student is solving the equation 4^x–1 = 64^x+3.

Doss [256]

The answer is x - 1 = 3x + 9

All steps are:
Step 1: 4ˣ⁻¹ = 64ˣ⁺³
Step 2: 4ˣ⁻¹ = (4³)ˣ⁺³ 
Step 3: 4ˣ⁻¹ = 4³ˣ⁺⁹
Step 4: x - 1 = 3x + 9
Step 5: x - 3x = 1 + 9
Step 6: -2x = 10
Step 7: x = 10/-2
Step 8: x = -5

4 0

3 years ago

Read 2 more answers

Half a pepperoni pizza plus three fourths of a ham and pineapple pizza contains 765 calories 1/4 of a pepperoni pizza plus a who

yulyashka [42]

Answer:

Correct choice is D (In a whole pepperoni pizza are 660 calories, in in a whole ham and pineapple pizza are 580 calories).

Step-by-step explanation:

Let x calories be the number of calories a whole pepperoni pizza contains and y calories be the number of calories a whole ham and pineapple pizza contains.

1. If half a pepperoni pizza plus three fourths of a ham and pineapple pizza contains 765 calories, then

$\dfrac{1}{2}x+\dfrac{3}{4}y=765.$