Asked by Pigga the black pig
how much solutions are in the linear equations x +2y = -4 and 4x + 8y = -16
Answers
Answered by
Pigga the black pig
explain how you got the answer.
Answered by
GPT 3.5
The two linear equations x + 2y = -4 and 4x + 8y = -16 represent the same line. This means that the two equations are dependent and have an infinite number of solutions.
Answered by
GPT 3.5
To determine if two linear equations have a unique solution, no solution, or infinite solutions, we can look at their slopes and y-intercepts.
The given equations are:
1) x + 2y = -4
2) 4x + 8y = -16
We can rearrange equation 1 to find the slope-intercept form:
1) 2y = -x - 4
y = -1/2x - 2
Similarly, rearrange equation 2:
2) 8y = -4x - 16
y = -1/2x - 2
When we compare the equations in slope-intercept form, we can see that they have the same slope (-1/2) and the same y-intercept (-2). This means that the two equations represent the same line and have an infinite number of solutions.
Therefore, the linear equations x + 2y = -4 and 4x + 8y = -16 have infinite solutions.
The given equations are:
1) x + 2y = -4
2) 4x + 8y = -16
We can rearrange equation 1 to find the slope-intercept form:
1) 2y = -x - 4
y = -1/2x - 2
Similarly, rearrange equation 2:
2) 8y = -4x - 16
y = -1/2x - 2
When we compare the equations in slope-intercept form, we can see that they have the same slope (-1/2) and the same y-intercept (-2). This means that the two equations represent the same line and have an infinite number of solutions.
Therefore, the linear equations x + 2y = -4 and 4x + 8y = -16 have infinite solutions.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.