Name: Scarlett Lopez Date: 1-13-21 Bell: 2 Unit 2: Linear Functions Homework 4: Solving Systems of Equations by Graphing & Substitution ** This is a 2-page document! ** Directions: Solve each system of equations by graphing. Clearly identify your solution. 1. y=>x+1. 41 9 7 y =- x-9 (-8,-1) 1 3. 3x+7y = - 63 x-y =- 1 7y =- 3x-63 7 2 1 y =- 3/7x-9 y=1x-1 2. y = 2x -8 13x+2y = 18 7 24 =- 13x+18 2 2 Y =- 13/2x+9 -10 129 (2,-4) 4. 3x-2y = 10 x=2 . 7 -Ly =- 3x+10 1 -2 2 Y = 3/2x - 5 2 2 (2,-2) (-7,-6) 5. - 6y = 36- x 4x-3y =- 3 10 6. - 12x=30y+60 2x+5y = 20 -by =- 1x+36 -6 Y=1/6x - 6 123456 -3y =- 4x-3 -3 Y=4/3x+11 (-6,-7) 30 =- 12x-60. (2/5) 30y y =10/15-2 -10 1 234567 345 1 5y =- 2x+20 5 Y =- 2/5x+4 no solution Gina Wilson (All Things Algebra), 2015
Directions: Solve each system of equations by substitution. Clearly identify your solution. 7. y =- 2x+14 x+2x =14 ×2 y=5x-7 ? xx-5X =- 7 7x=21 7 15 x=3 (3,8) 5(3)-7=y = 8 9. . "- y = - 9 ) x3 8x-3y =- 62 (-7,2) 8x-3x =- 62 3x-by =- 27 5x= - 35 5 5 x =- 7 -7-y =- 9 +7 Y=2 11. 2x=16-8y (x+4y=25)2 2x+84=16 2x +8y=50 No solution 13. 2x-9y = 26 -3 6x-y =- 221 6x-2y =- 22 + 6/x+27y =- 78 2x-9(-4)=26. 25y =100 2x +36=26 25 25 -86-36 y=4 2 x = 10 xx =5 (5) +4) 8. y= - 4x - 9 1 x + 4 x = - 9 (x 4) 7x+4y =- 27 ( ++ +7x =- 27) - 4/4+16x =- 36 -297=9 -9-9 (-1, -5) x =- 1 7(-1) + 44 =- 27 -7 +7 Y =- 5 -44 =20 10. 7x-y = 34 | 3 2x + 3y = - 10 2x+3y = - 10 +21x - 34=102 23x = +92 23 23 (4, -6) x=4 2(4)+By = - 10 8 -8 34 =- 18 3 3 Y =- 6 12.(3x-7 y =6) 3 -2x-2ly =18 (x+)3y=9)2 x+3y =- 9 -- 2x-21y=18 x+3(0) == 9 +1x+by=18 x = - 9 -15y =0 =- 9)2/21 X + -15 -15 (-9,0) 427 Y=0 1-10/21 X =- 64/= 1 =- 0/7 (4/7, -6/2) 14. 3.x-2y =10 ×3 9/ +4y =- 50 1 9x+4y =- 50 Ax-64=30 3 x - 2 (-8) = 10 10 y = - 80 10 TO - 16 -16 Y =- 8 3x =- 6 3 3 x=2 (2,-8) Gina Wilson (All Things Algebra), 2015