Can somebody help me on this

Answer/Step-by-step explanation:

a. 3x + 13 = 12x - 2x

Add like terms

3x + 13 = 10x

3x = 10x - 13 (subtraction property of equality)

3x - 10x = - 13 (substraction property of equality)

-7x = -13

-7x = -13/-7 (division property of equality)

x = 13/7

b. 6j - 12 + 4j - 8 = 10

Add like terms

6j + 4j - 12 - 8 = 10

10j - 20 = 10

10j = 10 + 20 (addition property of equality)

10j = 30

10j/10 = 30/10 (division property of equality)

j = 3

c. 10y - 4y = 14 + 2y - 3y

Add like terms

6y = 14 - y

6y + y = 14 (addition property of equality)

7y = 14

7y/7 = 14/7

y = 2

d. 4p + 8 - 3p = 33

Add like terms

4p - 3p + 8 = 33

p + 8 = 33

p = 33 - 8 (subtraction property of equality)

p = 25

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

3/5

step-by-step explanation:

double number line is not a standard concept, so it must have been defined in your textbook. assume top line is numerator.