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Viefleur [7K]
2 years ago
7

What is the solution to this system of equations? 4x + 5y = 7 3x – 2y = –12

Mathematics
2 answers:
Varvara68 [4.7K]2 years ago
5 0

The answer is (-2,3)

hope you have a great day ;)

jolli1 [7]2 years ago
4 0

Answer:   (x, y) = (-2, 3) is the required solution.

Step-by-step explanation:  We are given to find the solution to the following system of linear equations:

4x+5y=7~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\3x-2y=-12~~~~~~~~~~~~~~~~~~~(ii)

Multiplying equation (i) by 3 and equation (ii) by 4, we have

12x+15y=21~~~~~~~~~~~~~~~~~(iii)\\\\12x-8y=-48~~~~~~~~~~~~~~~~(iv)

Subtracting equation (iv) from equation (iii), we get

(12x+15y)-(12x-8y)=21-(-48)\\\\\Rightarrow 12x+15y-12x+8y=21+48\\\\\Rightarrow 23y=69\\\\\Rightarrow y=3,

and from equation (i), we get

4x+5\times 3=7\\\\\Rightarrow 4x+15=7\\\\\Rightarrow 4x=-8\\\\\Rightarrow x=-2.

Therefore, the solution to the given system is  x = - 2, y = 3.

Thus, (x, y) = (-2, 3) is the required solution.

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Read 2 more answers
Solve for z<br> 4/z =<br> 12/5 <br> what is z
Verdich [7]

Answer:

5/3      = z

Step-by-step explanation:

You can use proportions to figure this out.

Imma solve this as I work through it.

So

4/z is equal to 12/5. So you can do something called the butterfly method (I have never used this before, but it works tho) and the method involves only multiplication and division.

Lemme clean this up for ya

The butterfly method involves multiplying in a cross format on both sides, so the

4                       12

__        =      ______

z                          5

becomes 4 times 5, and z times 12.

4 times 5 is 20, and z times 12 is 12z

so you now have 20 = 12z

Lets simplify the equation by dividing by 4s

20 divided by 4 is 5 and 12z divided by 4 is 3z

so

5 = 3z

You can divide again

by dividing both sides

by

3

to get the unit rate of z.

It will be a fraction though

and it won't look pretty

but here it is:

5

__  = z

3

So

It is

5/3

Hope this helps

and hope you get a laugh out of this

yeeha

7 0
2 years ago
Which equation can be used to find the volume of the cylinder?
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Step-by-step explanation:

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g100num [7]
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We know the slope, -1/5. Now the equation looks like y = (-1/5)m + b

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7 = (-1/5)(-3) + b
7 = 0.6 + b
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So, the y-intercept will be at 6 2/5.
4 0
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