All categories

3 years ago

Solve the system by the substitution method. x+y=9 y=2x

Mathematics

1 answer:

Marrrta [24]3 years ago

7 0

Answer:

x=3 and y=6

Step-by-step explanation:

Substitute: y=2x in place of Y in the first equation we will put 2x

x+2x= 9

1x+2x=9

3x=9

divide both sides by 3

x=3

Now go to either of the original equations and substitute the answer you got for x which is 3 to find y

y=2x so 2 times 3 = so y =6

You might be interested in

Everett and Marie are going to make brownies for their family reunion. They want to make 4 times the amount the recipe makes. If

denis-greek [22]

8/3 cups or 2 2/3
2/3 × 4/1 = 8/3
if u divide 3 into 8 it gives u 2 times with 2 places left
the 2 places equal 2/3
2 whole OR 6/3 + 2/3 = 8/3 OR 2 and 2/3

3 0

3 years ago

The area of a rectangle is 259 cm2 and its lenght is 18.5 cm find

crimeas [40]

The breadth of rectangle is 14 cm

The perimeter of rectangle is 65 cm

<em><u>Solution:</u></em>

Given that,

Area of rectangle = 259 square centimeter

Length of rectangle = 18.5 cm

<em><u>The area of rectangle is given by formula:</u></em>

$Area\ of\ rectangle = length \times breadth$

<h3><u>Find the breadth:</u></h3>

Substitute the given values in above formula:

$259 = 18.5 \times breadth\\\\breadth = \frac{259}{18.5}\\\\breadth = 14$

Thus breadth is 14 cm

<h3><u>Find the perimeter:</u></h3>

The perimeter of rectangle is given by formula:

$Perimeter = 2(length + breadth)$

Substitute the given values in above formula:

$perimeter = 2(18.5+14)\\\\perimeter = 2(32.5)\\\\perimeter = 65$

Thus perimeter of rectangle is 65 cm

7 0

3 years ago

For his phone service, Charlie pays a monthly fee of $ 18 , and he pays an additional $ 0.06 per minute of use. The least he has

schepotkina [342]

Answer:

Charlie has used his phone in a month for at least 1404 minutes

Step-by-step explanation:

In order to solve this problem, we must first determine what will our variable be and what it will represent.

Let's say our variable is x and it will represent the number of minutes Charlie has used his phone.

After we set our variable up, we can set our equation up. The problem states that Charlie will pay a monthly fee of $18 and additional $0.06 per minute of use. The $18 is what is called a fixed cost and the $0.06 is the variable cost, which will depend on our variable x (the number of minutes spent). Taking this into account we can build an inequality that will represent the amount of money spent in a month, which will look like this:

$18+0.06x\geq 102.24$