Question

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

Answer 1

Answer:

Only one solution does the system have

Step-by-step 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.

Answer 2

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