c. y = x² + 2\n5. does x = 4 for the following equations? (show your work)\na. 4x + 2 = -2x - 10\nb. 2x - 5…

c. y = x² + 2\n5. does x = 4 for the following equations? (show your work)\na. 4x + 2 = -2x - 10\nb. 2x - 5 + 4x = -2x + 27\nc. -32 = 8 - 10x

c. y = x² + 2\n5. does x = 4 for the following equations? (show your work)\na. 4x + 2 = -2x - 10\nb. 2x - 5 + 4x = -2x + 27\nc. -32 = 8 - 10x

Answer

Explanation:

Step1: Check equation a

Substitute (x = 4) into (4x+2=-2x - 10). Left - hand side: (4\times4 + 2=16 + 2=18). Right - hand side: (-2\times4-10=-8 - 10=-18). Since (18\neq - 18), (x = 4) is not a solution for (4x + 2=-2x-10).

Step2: Check equation b

Substitute (x = 4) into (2x-5 + 4x=-2x + 27). Left - hand side: (2\times4-5 + 4\times4=8-5 + 16=19). Right - hand side: (-2\times4+27=-8 + 27=19). Since (19 = 19), (x = 4) is a solution for (2x-5 + 4x=-2x + 27).

Step3: Check equation c

Substitute (x = 4) into (-32=8-10x). Right - hand side: (8-10\times4=8 - 40=-32). Since (-32=-32), (x = 4) is a solution for (-32=8-10x).

Answer:

a. No b. Yes c. Yes