3.1 Solve Linear Systems by Graphing

Vocabulary

• System of two linear equations: consists of two equations that can be written in standard or slope intercept form.

• Solution to a system of equations: ordered pair form, (x,y) , which satisfies both equations.

• Solution can be find when graphing two equations by finding the point the lines intersect.

Systems of Inequalities have 3 types of Solutions:

• 1) one solution: lines intersect• 2) no solution: lines do not intersect• 3) infinitely many solutions: same line

Example:

• (EX 1) Graph the linear system and estimate the solution. Then check the solution algebraically.

4x + y = 8 2x – 3y = 18

Practice Problems:

• Page 153 (1-3)