Question

c. y = x² + 2

1. does x = 4 for the following equations? (show your work)

a. 4x + 2 = -2x - 10
b. 2x - 5 + 4x = -2x + 27
c. -32 = 8 - 10x

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 \(18
eq - 18\), \(x = 4\) 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