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.

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,