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24 votes
Solve by using subitution

Please explain your steps and explain why it's no solution thanks :)
2x-y=2. Y=2x+1

User Debajit
by
7.5k points

2 Answers

13 votes

Y=2x+1
2x-y=2
2x-(2x+1)=2
-1=2
-1+1=2+1
0=3


No solution
User Marillion
by
8.7k points
14 votes

Answer:

No Solutions

Explanation:

1. Substitute the 2x + 1 in for the y in the first equation. Rewrite it as 2x - (2x + 1) = 2.

2. Add the opposite and change the equation to 2x + -1(2x + 1) = 2.

3. Use the distributive to make the equation look like this: 2x + -2x + -1 = 2

4. Combine like terms and add 2x and -2x. They cancel each other out.

5. You will end up with -1 ≠ 2. Since -1 and 2 are not equal, there are no solutions.

User Senneco
by
7.6k points

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