Download Equation 1 Equation 2 Ax By C Dx Ey F + = + =

3.1 Solving Linear Systems by
Graphing
A system of two linear equations in two
variables x and y consists of two
equations of the following form.
Ax + By = C
Equation 1
Dx + Ey = F
Equation 2
A solution of a system of linear
equations in two variables is an
ordered pair (x, y) that satisfies each
equation.
Check whether (a) (-5,0) and (b) (1,4) are
solutions of the following system.
x − 3 y = −5
−2 x + 3 y = 10
(−5, 0)
(1, 4)
1
Solving a System Graphically
Solve the system:
2 x − 2 y = −8
2x + 2 y = 4
Equation 1
Equation 2
Graph each line
and find the point of
intersection.
Solving a System Graphically
Solve the system:
2x − 3y = 1
x+ y =3
Equation 1
Equation 2
Graph each line
and find the point of
intersection.
Systems with Many of No Solutions
2
How many solutions does each linear system have?
2 x + 4 y = 12
x + 2y = 6
x− y =5
2x − 2 y = 9
3