Question

question 12 of 13
for each part below, solve the equation.
(a) solve for y.
3(y - 2) - 5y = -2(y + 3)
no solution
y = ____
all real numbers are solutions
(b) solve for w.
-2(w + 2) + 7 = 3(w + 6)
no solution
w = ____
all real numbers are solutions
question 13 of 13
for each part below, solve the equation.
(a) solve for y.
6(y + 1) - 10 = 4(y - 1) + 2y
no solution
y = ____
all real numbers are solutions
(b) solve for w.
2(w - 3) - 5w = -3(w + 3)
no solution
w = ____
all real numbers are solutions

Explanation:

Question 12

Part (a)

Step1: Expand both sides

$3y - 6 - 5y = -2y - 6$

Step2: Combine like terms

$-2y - 6 = -2y - 6$

Step3: Simplify the equation

$0=0$

Step1: Expand both sides

$-2w - 4 + 7 = 3w + 18$

Step2: Combine like terms

$-2w + 3 = 3w + 18$

Step3: Isolate w terms

$-2w - 3w = 18 - 3$

Step4: Solve for w

$-5w = 15$
$w = \frac{15}{-5} = -3$

Step1: Expand both sides

$6y + 6 - 10 = 4y - 4 + 2y$

Step2: Combine like terms

$6y - 4 = 6y - 4$

Step3: Simplify the equation

$0=0$

Answer:

All real numbers are solutions

Part (b)