Solve the absolute value equation. check for extraneous solutions. |2x-3|=2x-1 show work. you in advance.

2x - 3 = 2x - 1

- this makes no sense so  there is no solution to this equation.

2x - 3 = -(2x - 1)

2x - 3 = -2x + 1

4x = 4

x = 1

Checking this solution:-

2(1) - 3 = -1

-(2(1) - 1) =  -1( 1) = -1

So this solution is valid.

answer: 91

step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form