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kirill115 [55]
3 years ago
11

60 POINTS!!!! PLEASE HELP URGENT

Mathematics
1 answer:
sammy [17]3 years ago
3 0

Using linear combination method to solve the system of equations 3x - 8y = 7  and x + 2y = -7 is (x, y) = (-3, -2)

<h3><u>Solution:</u></h3>

Given that, a system of equations are:

3x – 8y = 7 ⇒ (1) and x + 2y = - 7 ⇒ (2)

We have to solve the system of equations using linear combination method and find their solution.

Linear combination is the process of adding two algebraic equations so that one of the variables is eliminated. Addition or subtraction can be used to perform a linear combination.

Now, let us multiply equation (2) with 4 so that y coefficients will be equal numerically.

4x + 8y = -28 ⇒ (3)

Now, add (1) and (3)  

3x – 8y = 7  

4x + 8y = - 28  

----------------

7x + 0 = - 21  

7x = -21  

x = - 3  

Now, substitute "x" value in (2)

(2) ⇒ -3 + 2y = - 7  

2y = 3 – 7  

2y = - 4  

y = -2

Hence, the solution for the given two system of equations is (-3, -2)

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Step-by-step explanation:

Data

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Process

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                        x   -------------------   20%

                        x = (20 x 25) / 100

                        x = 500 / 100

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Price after the discount = $25 - $5

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2.- Calculate the price after taxes

                     $20 ---------------------- 100%

                         x  -----------------------   5%

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3 years ago
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Find a common denominator, in this case it is 10.

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Hope this helps!
6 0
3 years ago
Read 2 more answers
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