How many solutions does the system of equations have? (1 point) Responses one one two two infinitely many infinitely many none
3 answers
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.
the euation is: y=-2x+9 6x+3y=27
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.
1 answer