what is the solution of the following system of equations?
y = 0
x = y + 2
a) (0,2)
b) (2,0)
c) (1,2)
d) (2,1)
thank you
The answers are all coordinates in this format: (x,y)
The first equation y=0, means that the answer looks like this: (x,y=0) or (x,0)
If y=0, you can replace y in the second equation so you get x=0+2=2
So x=2.
Answer: b) (x=2,y=0) or (2,0)
In algebra attention to detail helps.
To find the solution to the system of equations, we need to substitute one equation into the other and solve for the variables.
First, we have the equation y = 0. Since y is equal to zero, we can substitute this value for y in the second equation:
x = y + 2
x = 0 + 2
x = 2
So, we have found that x = 2.
Now, we can substitute the value of x back into the first equation:
y = 0
Thus, we have found that y = 0.
So, the solution to the system of equations is (x, y) = (2, 0).
Comparing this solution with the options provided, we see that the correct answer is option b) (2, 0).
Therefore, the solution to the system of equations is (2, 0).