Solve the system of equationsy=2x-5 y=x^2-5 PLEASE HELP FAST

(0, - 5 ) and (2, - 1 )

Step-by-step explanation:

Given the 2 equations

y = 2x - 5 → (1)

y = x² - 5 → (2)

Substitute y = x² - 5 into (1)

x² - 5 = 2x - 5 ( subtract 2x - 5 from both sides )

x² - 2x = 0 ← factor out x from each term

x(x - 2) = 0

Equate each factor to zero and solve for x

x = 0

x - 2 = 0 ⇒ x = 2

Substitute these values into (1) for corresponding values of y

x = 0 : y = 2(0) - 5 = 0 - 5 = - 5 ⇒ (0, - 5 )

x = 2 : y = 2(2) - 5 = 4 - 5 = - 1 ⇒ (2, - 1 )

y=2x-5 1

y = x² - 5 2

Substitute equation 1 into equation 2

You'll get

2x - 5 = x ² - 5

x² - 2x = -5 + 5

x² - 2x = 0

Factorize

x ( x - 2 ) = 0

x = 0 x = 2

Now put the values of x into any of the equation

When x = 0

y = 2(0) - 5

y = 5

When x = 2

y = 2(2) - 5

y = 4 - 5

y = -1

When x = 0 y = - 5

When x = 2 y = - 1

Hope this helps

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this