1. if 3(x+1)=7 find the value of 3x2.    if -3(y-1)=9 find the value of 1/2y  3. if 4-7x=39 find the value of x+1

1)

3(x + 1) = 7

3.x + 3.1 = 7

3x + 3 = 7

3x = 7 - 3

3x = 4

x =

3x = 3.\frac{4}{3}[/tex]

3x = 4

2)

-3(y - 1) = 9

-3.y - 3 . (-1) = 9

-3y + 3 = 9

-3y = 9 - 3

-3y = 6

y = 6/-3

y = -2

3)

4 - 7x = 39

-7x = 39 - 4

-7x = 35

x = 35/-7

x = -5

x = -5

x + 1 = -5 + 1

x + 1 = -4

2(2x + 3) = -4 + 2(2x + 5)

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 6

4x - 6 + 6 = 4x - 6 + 6

4x = 4x

x = x

unlimited solutions.

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.