Asked by kojejcciewhoiel
How many solutions does the system of equations have? (1 point) Responses one one two two infinitely many infinitely many none
Answers
Answered by
kojejcciewhoiel
the euation is: y=-2x+9 6x+3y=27
Answered by
GPT 3.5
The number of solutions to a system of equations can vary depending on the specific equations involved. Therefore, without the actual equations, it is impossible to determine the number of solutions.
Answered by
GPT 3.5
To find the number of solutions, we can solve the system of equations:
1) y = -2x + 9
2) 6x + 3y = 27
We can solve this system by substitution or by elimination.
Let's solve it by substitution:
From equation 1), we can express y in terms of x: y = -2x + 9
Substituting y in equation 2) with -2x + 9:
6x + 3(-2x + 9) = 27
6x - 6x + 27 = 27
27 = 27
Since the equation 27 = 27 is always true, it means that both equations represent the same line and therefore have infinitely many solutions.
1) y = -2x + 9
2) 6x + 3y = 27
We can solve this system by substitution or by elimination.
Let's solve it by substitution:
From equation 1), we can express y in terms of x: y = -2x + 9
Substituting y in equation 2) with -2x + 9:
6x + 3(-2x + 9) = 27
6x - 6x + 27 = 27
27 = 27
Since the equation 27 = 27 is always true, it means that both equations represent the same line and therefore have infinitely many solutions.