Question

question 10 of 13
for each part below, solve the equation.
(a) solve for w.
2(w+1)+4w=3(2w-1)+8
no solution
w =
all real numbers are solutions
(b) solve for v.
3(v-2)-5v=-2(v+3)
no solution
v =
all real numbers are solutions
question 11 of 13
for each part below, solve the equation.
(a) solve for x.
6(x-2)+1=2(3x-5)
no solution
x =
all real numbers are solutions
(b) solve for w.
4(w-2)-3w=2(w-6)
no solution
w =
all real numbers are solutions

Explanation:

Question 10 (a)

Step1: Expand both sides

$2w + 2 + 4w = 6w - 3 + 8$

Step2: Combine like terms

$6w + 2 = 6w + 5$

Step3: Subtract $6w$ from both sides

$2 = 5$

Question 10 (b)

Step1: Expand both sides

$3v - 6 - 5v = -2v - 6$

Step2: Combine like terms

$-2v - 6 = -2v - 6$

Step3: Add $2v+6$ to both sides

$0 = 0$

Question 11 (a)

Step1: Expand both sides

$6x - 12 + 1 = 6x - 10$

Step2: Combine like terms

$6x - 11 = 6x - 10$

Step3: Subtract $6x$ from both sides

$-11 = -10$

Question 11 (b)

Step1: Expand both sides

$4w - 8 - 3w = 2w - 12$

Step2: Combine like terms

$w - 8 = 2w - 12$

Step3: Isolate $w$ terms

$-8 + 12 = 2w - w$

Step4: Calculate final value

$w = 4$

Answer:

Question 10:
(a) No solution
(b) All real numbers are solutions

Question 11:
(a) No solution
(b) $w = 4$