Determine the number of solutions to the system of linear equations

Question

Y=x+5
Y=-x+5

Answer 1

Since both equations are equal to y, we can set them equal to each other:

x + 5 = -x + 5

Now, let's solve for x:

x + x = 5 - 5
2x = 0
x = 0

Now that we have found the value of x, let's substitute it back into one of the original equations to find the value of y:

y = 0 + 5
y = 5

Therefore, the solution to the system of equations is x = 0 and y = 5. Since we found a unique solution, there is only one solution to the system of linear equations.