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Mathematics
Laila
17 December, 19:24
Solve the system of equations: y=2x-5. y=x^2-5
+1
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Ayden Brandt
17 December, 20:20
0
(0, - 5) and (2, - 1)
Step-by-step explanation:
Since both equations have already been solved for y, the substitution method is the easiest approach here. Set the two equations equal to each other:
y = 2x - 5 = x^2 - 5 = y
Focusing on the variable x only, we get 2x - 5 = x^2 - 5.
Adding 5 to both sides results in 2x = x^2.
Factoring this result, we get x (2 - x) = 0, whose solutions are
x = 0 and x = 2.
Now find the corresponding y-values:
If x = 0, then y = 2 (0) - 5, or y = - 5;
If x = 2, then y = 2 (2) - 5, or y = - 1
Writing the solutions as coordinate pairs: (0, - 5) and (2, - 1)
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