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soldi70 [24.7K]
2 years ago
11

Solve the system of linear equations using ELIMINATION. Write your final solution as an ORDERED PAIR.

Mathematics
1 answer:
vesna_86 [32]2 years ago
8 0

Answer:

The solution to the system of equations becomes:

(x, y) = (7, 12)

Step-by-step explanation:

Given the system of equations

5x - 3y = -1

2x - y = 2

Solving using the Elimination Method

\begin{bmatrix}5x-3y=-1\\ 2x-y=2\end{bmatrix}

Multiply 5x - 3y = - 1 by 2:  10x - 6y = -2

Multiply 2x - y = 2 by 5:  10x - 5y = 10

\begin{bmatrix}10x-6y=-2\\ 10x-5y=10\end{bmatrix}

subtraction operation

10x-5y=10

-

\underline{10x-6y=-2}

y=12

so the system of equations becomes

\begin{bmatrix}10x-6y=-2\\ y=12\end{bmatrix}

Therefore, the value of y = 12

For 10x - 6y = -2 plug in y = 12

10x - 6y = -2

10x - 6(12) = -2

10x - 72 = -2

10x = -2+72

10x = 70

dividing both sides by 10

10x/10 = 70/10

x = 7

Therefore, the value of x = 7

Thus, the solution to the system of equations becomes:

(x, y) = (7, 12)

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Isolate the variable by dividing each side by factors that don't contain the variable.

4 0
3 years ago
The Lane School sold 1,152 granola bars to raise money for digital cameras. All the granola bars were either berry bars or raisi
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y = cos 2/3 x

Step-by-step explanation:

7 0
2 years ago
Determine whether f(x) = 5x+1/x and g(x)= x/ 5x+1 are inverse functions explain how you know. please explain in steps or worded
Len [333]

Hello from MrBillDoesMath!

Answer:

No


Discussion:

If the functions are inverses, then f(g(x)) = x  for appropriate x. Consider x = 1.

g(1) = 1/ (5(1) + 1) = 1/6

f(g(1)) = f (1/6) =  5(1/6) + 1/ (1/6) = 5/6 + 6 = 6 5/6   <> 1

Conclusion: f(g(1)) <> 1 so the functions are not inverses


Thank you,

MrB

7 0
3 years ago
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Answer:

The answers are in the files

Step-by-step explanation:

have a good day!

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