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ch4aika [34]
3 years ago
5

Solve the system by substitution 5x+3y=8 3x+y=8

Mathematics
2 answers:
Doss [256]3 years ago
8 0

First you'd have to eliminate one of the variables, so which I used y. So to get rid of y, you need to multiply the whole equation, 3x+y=8, by 3. Which then you get 9x+3y=24.

On the second equation, it's stays the same. 5x+3y=8, except you chane the value of the number, so if it's positive change it to negative and vice versa.

So now you have -5x-3y=-8 and 9x+3y=24.

9x + 3y =24

-5x - 3y = 8

if you combine the terms, you'll see y is removed from the equation 3y-3y=0.

You're left with 4x=16, which x is 4.

Now you can substitute 4 for x to find y. Just use one of the equations to do this to, try 3x+y=8.

3(4)+y=8.

12+y=8

y=-4.

If you need the answer to be in a point form, it's (4,-4)


Olenka [21]3 years ago
7 0
There you go, hope that this helps

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What are the x-coordinates for the maximum points in the function f(x) = 4 cos(2x − π) from x = 0 to x = 2π? (1 point) a x = 3 p
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x-coordinates for the maximum points in any  function  f(x) by f'(x) =0 would be  x = π/2 and x= 3π/2.

<h3>How to obtain the maximum value of a function?</h3>

To find the maximum of a continuous and twice differentiable function f(x), we can firstly differentiate it with respect to x and equating it to 0 will give us critical points.

we want to find x-coordinates for the maximum points in any  function  f(x) by f'(x) =0

Given f(x)= 4cos(2x -π)

f'(x) = 0\\- 4sin(2x -\pi ) =0\\\\sin (2x -\pi ) =0 \\2x -\pi  = k\pi ...  k in Z

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when k =0  then  x = π/2

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Thus, X-coordinates of maximum points are  x = π/2 and x= 3π/2

Learn more about maximum of a function here:

brainly.com/question/13333267

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