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Identify the number of solutions to the system of equation:

y=x+3
3x+y=-1

10 answers

The system of equations has 1 solution.
Identify the number of solutions to the system of equation:
2x = y + 4
-4x + 2y = 2
The system of equations has 1 solution.
are you sure
Yes, if the system of equations has at least one pair of (x,y) that satisfies both equations, then the system has one solution. In these two equations, you can isolate y in the first equation as y = 2x - 4, and replace y in the second equation with 2x - 4. After simplifying, you will find that there's a value of x that makes the second equation true. Therefore, the system has one solution.
Identify the number of solutions to the system of equation:
y=⅓ x + 2
-x +3y = 6
The system of equations has 1 solution.
Are you positive?
Yes, I am. By substituting the first equation into the second, you can confirm that these two equations represent the same line. In other words, every point on that line would satisfy both equations, which confirms that there is indeed one solution.
y=-2x + 3
-2x = y +1