Question

Solve this system of equations without graphing and show your reasoning

Answer 1

Answer:

x = 1/5

y = 6

Step-by-step explanation:

System:

{5x + y = 7

{20x + 2 = y

First equation:

5x + y = 7 -> y = -5x + 7

Plug into second equation:

20x + 2 = -5x + 7

Subtract 2 from both sides:

20x = -5x + 5

Add 5x to both sides:

25x = 5

Divde both sides by 25:

x = 5/25 -> 1/5

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Come back to the first equation:

5x + y = 7

Plus in our x:

5(1/5) + y = 7

Multiply:

1 + y = 7

Subtract 1 from both sides:

y = 6

Hope this helps, have a nice day! :D