Solve the following system of equations.

y = x - 1
x^2 + y^2 =25

a) (-3,-4) (4,3)

b) (4,3)

c) (-3,-4)

d) no solution

Option A

A) (-3,-4) (4,3)

Step-by-step explanation:

We have a system of equations composed of:

The equation of a circle that has center at point (0,0) and radius r = 5.

The equation of a line that intercepts the y-axis at point (0,1)

To solve the system we substitute the equation of the line in the equation of the circumference:

Then

We solve for x.

We divide by 2 both sides of the equation

We look for two numbers that multiply as a result -12 and that add them as a result -1.

These numbers are -4 and 3.

Therefore the factors are:

Finally the solutions are:

and

The ordered pairs are:

(-3,-4) (4,3)

b. 153 students do not participate in sports and seventy-five 12th graders were surveyed

the answer would be  

a.

3: 1

step-by-step explanation: