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WARRIOR [948]
3 years ago
7

How do you solve 5x-2y= 18 and -5x+3y= -22 by solving a system of linear equations by elimination? Please add the steps in which

you have found out the answer:)
Mathematics
1 answer:
MaRussiya [10]3 years ago
3 0
Write the 2 equations:

5x-2y=18
-5x+3y=-22

You can see that the coefficients of x are opposites, so you can add them(the 2 equations) to eliminate x.

Adding them, you get:

y=-3

So now that you know y, you can substitute the value of y into one of the original equations. Let's substitute it in the first one:

5x+6=18

Solving this, we get:

5x=12
x=12/5

x=12/5, y=-3
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Answer:

For the given expression: X = (\frac{10}{3})  , Y =  (\frac{26}{3})

Step-by-step explanation:

Here, the given expression in statement form is given as:

5 X minus Y equals 6 + negative 2 X plus Y = 8

Now, converting the given statement mathematically, we get:

5X  - Y  = 6 + (-2X) + Y  = 8

Now, considering first  and the last  terms,we get:

5 X - Y  = 8  .... (1)

and , considering second and the last  terms,we get:

6 + (-2X) + Y  = 8 or, -2X  + Y  = 2  ......... (2)

Adding (1) and (2) , we get:

5 X - Y  - 2 X  + Y  = 8 + 2

or, 3 X =  10

or, X = 10/3  = 3.34

Now, 5X - Y = 8

or, 5(\frac{10}{3}) - Y = 8\\ \implies Y = \frac{50}{3} - 8  = \frac{50 - 24}{3}  = \frac{26}{3} \\\implies Y = \frac{26}{3}

Hence, for the given expression:

X = (\frac{10}{3})  , Y =  (\frac{26}{3})

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What is the length of the hypotenuse? If necessary, round to the nearest tenth.
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