Solve the system of equations:
Y=2x-5
Y=x^2-5
let me solve it
is it negitive 5
I NEED TO KNOW SO I CAN HELP U MAN
2x-5 = x^2-5
x = 0
y = -5
To solve the system of equations:
Step 1: Set the two equations equal to each other.
2x - 5 = x^2 - 5
Step 2: Rearrange the equation to get it in standard quadratic form (ax^2 + bx + c = 0).
x^2 - 2x - 5 + 5 = 0
x^2 - 2x = 0
Step 3: Factor if possible, or use the quadratic formula. In this case, we can factor out an x from both terms.
x(x - 2) = 0
Step 4: Set each factor equal to zero and solve for x.
x = 0 or x - 2 = 0
If x = 0, substitute it back into one of the original equations to solve for y.
y = 2(0) - 5
y = -5
If x - 2 = 0, solve for x.
x - 2 = 0
x = 2
Substitute x = 2 back into one of the original equations to solve for y.
y = 2(2) - 5
y = -1
Step 5: The solution to the system of equations is (0, -5) and (2, -1).