Question

wednesday/thursday type of solution: directions: determine the type of solution if one solution then solve for x. a. 3x + 7 = -x - 1 type of solution: b. -2x + 8 = -2x + 8 type of solution: c. 7x + 2 = 7x - 6 type of solution: 3. directions: determine the type of solution, if one solution, then solve for x. a. 2x - 11 = x + 1 type of solution: b. 5 + 8x = 8x - 7 type of solution: c. 2 + x = x + 2 type of solution:

Explanation:

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Set 2

Step1: Isolate x terms (2a)

$3x + x = -1 -7$

Step2: Simplify to solve x (2a)

$4x = -8 \implies x = \frac{-8}{4} = -2$

Step3: Simplify x terms (2b)

$-2x + 2x = 8 - 8$

Step4: Evaluate identity (2b)

$0 = 0$

Step5: Simplify x terms (2c)

$7x - 7x = -6 -2$

Step6: Evaluate contradiction (2c)

$0 = -8$
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Set 3

Step1: Isolate x terms (3a)

$2x - x = 1 + 11$

Step2: Simplify to solve x (3a)

$x = 12$

Step3: Simplify x terms (3b)

$8x - 8x = -7 -5$

Step4: Evaluate contradiction (3b)

$0 = -12$

Step5: Simplify x terms (3c)

$x - x = 2 - 2$

Step6: Evaluate identity (3c)

$0 = 0$

Answer:

Set 2

a. Type of Solution: One Solution; $x=-2$
b. Type of Solution: Infinitely Many Solutions
c. Type of Solution: No Solution

Set 3

a. Type of Solution: One Solution; $x=12$
b. Type of Solution: No Solution
c. Type of Solution: Infinitely Many Solutions