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3 years ago

Y=2x-4 and x+2y=10 substitute y in the second equation. what is the resulting equation

Mathematics

2 answers:

4vir4ik [10]3 years ago

7 0

X + 2y = 10 becomes x + 2(2x-4) = 10. Thus, x + 4x - 8 = 10, and 5x = 18.

mojhsa [17]3 years ago

6 0

Hi there!

In order to solve for x and y here, we'll be using a cool thing called substitution! First, we'll substitute the value of y into the second equation.

Value of y = 2x - 4
Substituting: x + 2(2x - 4) = 10
Distribute: x + 4x - 8 = 10
Solve: 5x - 8 = 10
5x = 18
x = 18/5 or 3.6

Now, we'll use the value of x and substitute that in to the first equation and solve for y.

Value of x = 18/5 or 3.6
Substituting: y = 2(3.6) - 4
Solve: y = 7.2 - 4
y = 3.2 or 16/5

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

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andrey2020 [161]

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Step-by-step explanation:

Conversion a mixed number 2 1/

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To find new numerator:

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2 years ago

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3 years ago

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nataly862011 [7]

Answer: <u>110 feet per second</u>

Step-by-step explanation:

In this problem we will assume that the car at 45 miles per hour is moving into the x direction with a high of 100 feet, and the train is going in the y direction, so they trajectories will made an angle of 90º.

Now we can calculate the speed of the trains in feet per second so:

$S1=\frac{45*5280}{3600}=66$

$S2=\frac{60*5280}{3600}=88$

So we can make a right triangle with sides 66 and 88 and the hypotenuse will be the rate that the trains will separate per second so:

$h=\sqrt{66^{2} +88^{2} } =\sqrt{4356+7744}$

$h=\sqrt{12100}=110$

Is important to have in mind that the initial high is not going to change how fast the trains will separate, however, if we are going to calculate the distance we should have it in the calculations.

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2 years ago