All categories

3 years ago

Solve the system of equations using the substitution method.

Mathematics

1 answer:

valentina_108 [34]3 years ago

5 0

Multiply 3x +y =23 by -4

x+4y=4
-12x+(-4y)=-92

Add together

-11x = -88

x = 8

Plug x in to find y.

8 + 4y = 4

Subtract 8 from each sides

4y = -4

Divide by 4

y = -1

So the answer is x =8, y= -1

I hope that helps!

You might be interested in

Which construction is illustrated above ?

RSB [31]

Answer:

Option 2.

Step-by-step explanation:

You are bisecting angle BAC with pencil and compass.

3 0

3 years ago

Read 2 more answers

I need help plz will give brainliest

lesya [120]

Answer:

$10,000

Step-by-step explanation:

Cross multiply and divide by 55.

Hope this helps!

5 0

2 years ago

Read 2 more answers

Solve for t <br><br> 2t^2-14t+3=3

Dvinal [7]

Answer:

t=7,t=0

Step-by-step explanation:

2t^2-14t+3=3

Subtract 3 from both sides

2t^2 - 14t +3 - 3 = 3-3

Simpilfy

2t^2 -14t = 0

7 0

3 years ago

The number of kilograms of water in a human body varies directly as the mass of the body. An 87-kg person contains 58 kg of wat

katen-ka-za [31]

Answer:

50 kg water.

Step-by-step explanation:

We have been given that the number of kilograms of water in a human body varies directly as the mass of the body.

We know that two directly proportional quantities are in form $y=kx$ , where y varies directly with x and k is constant of variation.

We are told that an 87-kg person contains 58 kg of water. We can represent this information in an equation as:

$58=k\cdot 87$

Let us find the constant of variation as:

$\frac{58}{87}=\frac{k\cdot 87}{87}$

$\frac{29*2}{29*3}=k$

$\frac{2}{3}=k$

The equation $y=\frac{2}{3}x$ represents the relation between water (y) in a human body with respect to mass of the body (x).

To find the amount of water in a 75-kg person, we will substitute $x=75$ in our given equation and solve for y.

$y=\frac{2}{3}(75)$

$y=2(25)$

$y=50$

Therefore, there are 50 kg of water in a 75-kg person.

3 0

3 years ago

A cylinder has a height of 18 millimeters and a radius of 18 millimeters. What is its volume? Use ≈ 3.14 and round your answer

solong [7]

Answer:

$Volume = 18312.48$

Step-by-step explanation:

Given

$Height (h) = 18mm$

$Radius (r) = 18mm$

Required

Determine the volume

The volume of a cylinder is calculated as thus:

$Volume = \pi r^2h$

Substitute values for r and h

$Volume = 3.14 * 18^2 * 18$

$Volume = 18312.48$

<em>Hence, the volume of the cylinder is 18312.48mm³</em>

8 0

3 years ago