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4 votes
3x - y = 2

y = x - 1
When the expression x-1 is substituted in for y in the first equation, the result is

1.) 2x - 1 = 2
2.) 2x + 1 = 2
3.) 4x + 1 = 2

User Jonas Anso
by
6.5k points

2 Answers

3 votes
Hi there~!

Let me help you real quick!

We have:
3x - y = 2
y = x - 1
What we need to do is solve y = x -1 for y

Then substitute x -1 for y in 3x -y =2
3x - y = 2
3x - (x -1) = 2
3x -x + 1 = 2
2x + 1 = 2

So, the correct answer is option 2


I hope this helps.

Please let me know if you have any questions about the answer.

Good luck with your studies!
User Ryoku
by
5.6k points
3 votes

Final answer:

The correct option is 2.

Substituting x-1 for y in the equation 3x - y = 2 results in the equation 2x + 1 = 2 after combining like terms.

Step-by-step explanation:

When substituting the expression x-1 for y in the first equation 3x - y = 2, we get the following steps:

Substitute y with x-1 in the equation: 3x - (x - 1) = 2.

Distribute the negative sign inside the parentheses: 3x - x + 1 = 2.

Combine like terms: 2x + 1 = 2.

The correct result of the substitution is 2x + 1 = 2.

User Florian Winter
by
7.5k points
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