SWBAT Solve linear systems algebraically and graphically Day

SWBAT: Solve linear systems algebraically and graphically Day 4 Review of systems of equations

SWBAT: Solve linear systems algebraically and graphically Page 27

SWBAT: Solve linear systems algebraically and graphically Page 27 Set equations equal to solve for x 4 x + 4 = x - 2 -x =3 x +x 4 = - 2 -4 = -4 3 x = - 6 x=-2 Subsitute in to solve for y y=x-2 y = (-2) - 2 y=-4 Solutio n (-2, -4)

SWBAT: Solve linear systems algebraically and graphically Page 27

SWBAT: Solve linear systems algebraically and graphically Page 27 Systems of equations, or more than one equation, arise frequently in mathematics. To solve a system means to find all sets of values that simultaneously make all equations true. Of special importance are systems of linear equations. You have solved them in your last two Common Core math courses, but we will add to their complexity in this lesson.

SWBAT: Solve linear systems algebraically and graphically 1. ) Isolate one variable: 2 x + y = -7 y = -2 x 7 3. ) Substitute into one of the original equations to 2 xfind + y y: = -7 2(-5) + y = -7 y =3 Page 28 2. ) Substitute into the other equation: 3 x + 2 y = -9 3 x + 2(-2 x-7) = -9 3 x - 4 x -14 = -9 -x = 5 x = -5 Solutio n (-5, 3)

SWBAT: Solve linear systems algebraically and graphically Page 28 Solutio n (-5, 3) Look to eliminate one variable by adding the both equations : 2 x + y = -7 3 x + 2 y = -2(9 2 x + y = - ) 7 3 x + 2 y = 9 - 2 y = -4 x +14 -x = 5 x = -5 2(-5) + y = -7 y =3

SWBAT: Solve linear systems algebraically and graphically -2(3 x + y = ) 6 x + 2 y = 4 4 NO SOLUTION Page 28 -6 x - 2 y = - 8 6 x + 2 y = -4 0 = -12 Same Slope different yintercept.