Section #1: solvi
1) find the solution to each equation.
a) 4(2x - 1) = -3x + 32
section

1) Find the solution to each equation.

A) 4(2x - 1) = -3x + 32

The solution to the equation 4(2x - 1) = -3x + 32 is x = 3.273

Need to find the solution of following equation

4(2x - 1) = -3x + 32

Let use BODMAS rule to solve the expression

According to Bodmas rule, if an expression contains brackets ((), {}, []) we have to first solve or simplify the bracket followed by of (powers and roots etc.), then division, multiplication, addition and subtraction from left to right.

On opening the bracket of left hand side we get

Now perform multiplication,

8x – 4 = -3x + 32

On bringing terms having variable x in left hand side and constant term on right hand side we get

8x + 3x = 32 + 4

=> 11x  = 36

On dividing both sides by 11, we get

Hence solution of equation 4(2x - 1) = -3x + 32 is 3.273

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