University:
High School
Course:
High School Mathematics
Academic year:

2021
Views:

296

Pages:

3
Author:

Holden Stevenson

Solving Systems of linear Equations 5.1 Solving Systems of linear Equations by Graphing 1. Tell whether the ordered pair (-2, -2) is a solution of the system 2 Solve the system by graphing of linear equations A system of linear equations is 2x -y = -2 Z or C:::tore Litea.£ X - 2y = 2 � 8zw.h��1 A solution of a system of II near equations is 'i)aJr -t.{ tl: 'i ✓ • 1--1.. • orduv). �� o\<.. LiJ.t.., sb 'I e, C -2.1 - i) '5 o lw½o 1--- ( foii,. f- D f i"' b0o,.., 5.2 Solving Systems of Linear Equations by Substitution I J=-1+1 ,,2t+ 1·= -9 •'1.y • 'vl - -2'1(- -2+��2. 2.-:; Z.✓ is c.. 5.3 Solving Systems of linear Equations by Elimination 5.4 Solving Special Systems of linear Equations A system of linear equations can have one, none or infinitely many solutions. Two lines that intersect have solution. Two lines that are parallel have No solution. Two lines that are the same line have j ,ro . ry soluttons. 1 (l.li•'•'°W Ch.5 Applications 1) 2) 3) 4) Solve th� ing linear systems by any method: = 2 8.'{ ('(-y - \ "7 -4x+4y=8 7. y� y=4x-4 Lj )( -2.-; - \ )(, -- l � -�'J � -e 4i -�)l, l( )C -� t.'<, � 8 o-:- -'" Iv. 5 hv1.r rJ o )o !uiJ�rv j 17. In a football game, all of the home team's points are from 7-point touchdowns and 3· point field goals. The team scores six times for a total of 34 points. Write and solve a system of linear equations to find the numbers of touchdowns and field goals that the home team scores. •b• .t; to....1-�, � :; � \',·c,tJ. 1 h � r) -) bt�-:: G, -';! 1-_:�"}_: 4,t-. I(.. '< '( L{ i �-; � -'( -{ t--::-2, lJ. T '\j c, F ielJ &11.. ( I