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Wittaler [7]
3 years ago
6

What is the solution to the pair of equations? y = 7x − 9 y = 3x − 1

Mathematics
2 answers:
kicyunya [14]3 years ago
7 0

Step-by-step explanation:

substitution:

7x-9= 3x-1

4x= 8

x=2

sergij07 [2.7K]3 years ago
3 0

Answer: x = 2

Concept:

There are three general ways to solve systems of equations:

  1. Elimination: Eliminating a variable by addition or subtraction when all equations have the variable.
  2. Substitution: Combining two equations when one variable is isolated into one side.
  3. Graphing: Find the intersection point of equations to get the solution.

Here, we are going to use the method of <u>substitution </u>because [y] is isolated onto the left-hand side.

Solve:

<u>Given information</u>

y = 7x - 9

y = 3x - 1

<u>Combine both equations by substitution</u>

7x - 9 = 3x - 1

<u>Subtract 3x on both sides</u>

7x - 9 - 3x = 3x - 1 - 3x

4x - 9 = -1

<u>Add 9 on both sides</u>

4x - 9 + 9 = -1 + 9

4x = 8

<u>Divide 4 on both sides</u>

4x / 4 = 8 / 4

\boxed{x=2}

Hope this helps!! :)

Please let me know if you have any questions

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Indicate the answer choice that best completes the statement or answers
zysi [14]

Answer:

Option D. y = 5x + 1

Step-by-step explanation:

From the question given above, the following data were:

Input (x) >>>>>> Output (y)

0 >>>>>>>>>>>> 1

1 >>>>>>>>>>>> 6

2 >>>>>>>>>>>> 11

3 >>>>>>>>>>>> 16

4 >>>>>>>>>>>> 21

To know the the correct answer to the question, we shall apply the equation given in each option to see which will satisfy the table. This can be obtained as follow:

For Option a

y = 3x + 3

x = 0

y = 3(0) + 3

y = 0 + 3

y = 0

y = 3x + 3

x = 1

y = 3(1) + 3

y = 3 + 3

y = 6

For Option b

y = 5x – 4

x = 0

y = 5(0) – 4

y = 0 – 4

y = – 4

y = 5x – 4

x = 1

y = 5(1) – 4

y = 5 – 4

y = 1

For Option c

y = 10x – 9

x = 0

y = 10(0) – 9

y = 0 – 9

y = – 9

y = 10x – 9

x = 1

y = 10(1) – 9

y = 10 – 9

y = 1

For Option d

y = 5x + 1

x = 0

y = 5(0) + 1

y = 0 + 1

y = 1

y = 5x + 1

x = 1

y = 5(1) + 1

y = 5 + 1

y = 6

From the illustrations made above, only option d satisfy the table. Thus, option d gives the correct answer to the question.

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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