Question

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

Answer 1

Answer:

(x, y) = (2, 19)

Step-by-step explanation:

7x + 5=x + 17

x=2

y=7*2+5

y=19

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Answer 2

Answer: (2, 19)

Step-by-step explanation:

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

- Substitution

- Elimination

- Augmented Matric

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

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Given

y=7x+5

y=x+17

Substitute y into the equations

7x+5=x+17

Subtract 17 on both sides

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

7x-12=x

Subtract 7x on both sides

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

-12=-6x

Divide -6 on both sides

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

x=2

Substitute  value into one of the equations

y=x+17

y=2+17

y=19

(2, 19)

Hope this helps!!

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