In Exercises 39- 54, the reduced row echelon form of the a11gmemed mmrix of a sysrem of li11ear eq11ario11s is given. Determine whether this system of linear equations is consistent and. if so. find its geneml solwio11. /11 addition. in Exercises 47- 54, write the solution in vector form. [

MAT 211 Lecture 2 Section 15.1 (Continued) reviewed the table in the previous lecture’s class Linear Function General Formula with 2 Variables: z= f(x,y)= ax+by+c Ex.: z= 1.1x+0.5y+xy NOT linear! because of the xy Ex.: z= 1.1x +0.5y +10 NOT linear! because of the x and y (should be in first power) Ex.: z= x+5y+pi Linear! pi works! Ex.: Each $1 million increase in sales of x causes a $2.7 million decline in sales of brand z. a= 2.7 Each $1 million increase in sales brand y results in an increase of $0.7 million in sales of brand z. b= 0.7 All are selling $6 million per pear. x=6, y=6, & z=6 6= 2.7(6)+ 0.7(6)+c Find c! z= 2.7x+ 0.7 y+c Graph of a Func