Question

1. Solve the system of linear equations

below by graphing. Check your answer.
x+y=8
x-y=2

Answer 1

point form:

(5,3)

Equation:

5,y=3

Explanation:

Subtract y both sides of the equation

x=8−y

x−y=2

Replace all occurrences of x with 8−y in each equation

8−2y=2

x=8−y

Solve for y in the first equation

y=3x

x=8−y

Replace all occurrences of y with 3 in each equation.

x=5

y=3

The solution to the system is the complete set of ordered pairs that are valid solutions.

(5,3)

The result can be shown in multiple forms.

Point Form: (5,3)

Equation Form:

x=5,y=3