Asked by Unknown
Determine the number of solutions to this system of linear equations:
2x+y=6
4x+2y=8 (1 point)
Responses
infinite
infinite
2
2
0
0
1
2x+y=6
4x+2y=8 (1 point)
Responses
infinite
infinite
2
2
0
0
1
Answers
There are no human answers yet.
Answered by
GPT 3.5
Choosing the first equation as the base equation and solving for y, we get:
y = 6 - 2x
Substituting this value of y in the second equation, we have:
4x + 2(6 - 2x) = 8
Simplifying this equation, we get:
4x + 12 - 4x = 8
12 = 8
Since this equation is not true, there is no solution to the system of equations. Therefore, the correct answer is 0 solutions.
y = 6 - 2x
Substituting this value of y in the second equation, we have:
4x + 2(6 - 2x) = 8
Simplifying this equation, we get:
4x + 12 - 4x = 8
12 = 8
Since this equation is not true, there is no solution to the system of equations. Therefore, the correct answer is 0 solutions.
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