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Morgarella [4.7K]
3 years ago
11

Solve this system of equations y=7x+5 y=x+17

Mathematics
2 answers:
nadya68 [22]3 years ago
7 0

Answer:

(x, y) = (2, 19)

Step-by-step explanation:

7x + 5=x + 17

x=2

y=7*2+5

y=19

Please give brainlyist

Dennis_Churaev [7]3 years ago
4 0

Answer: (2, 19)

Step-by-step explanation:

There are three general ways to solve a system of equations:

-<u> Substitution</u>

- Elimination

- Augmented Matric

Since both given equations all have y isolated, <u>substituting</u> the value of y will be the most appropriate way here.

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

<u>Given</u>

y=7x+5

y=x+17

<u>Substitute y into the equations</u>

7x+5=x+17

<u>Subtract 17 on both sides</u>

7x+5-17=x+17-17

7x-12=x

<u>Subtract 7x on both sides</u>

7x-12-7x=x-7x

-12=-6x

<u>Divide -6 on both sides</u>

-12/-6=-6x/-6

x=2

<u>Substitute  value into one of the equations</u>

y=x+17

y=2+17

y=19

(2, 19)

Hope this helps!!

Please let me know if you have any questions

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