Question

How many solutions does the system have? {y=−3x+5y=x2−3x+5

Answer 1

for the people doing this problem, it has only 1 solution.

Answer 2

Only one solution does the system have

Explanation:

Given the system of equations:

`y = -3x+5` .....[1]

`y = x^2-3x+5` ....[2]

Equate these two equations we have;

`-3x+5 = x^2-3x+5`

Add 3x to both sides we have;

`5 = x^2+5`

Subtract 5 from both sides we have;

`0= x^2`

⇒
`x = 0`

Substitute this value of x in [1] we have;

`y = -3(0)+5`

Simplify:

y = 5

⇒
`(0, 5)` is the only solution for the given equations.

Therefore, there is only one solution for the given system of equations.