Question

substitute the value of x back into the equation 3/4x+3-2x=-1/4+1/2x+5 to justify the solution what value of x is the solution ? x=

Answer 1

Answer:x=-1 or D

Step-by-step explanation: hope I can help!

Answer 2

x = -1

Explanation:

We can subtract the right side of the equation to get ...

`(3)/(4)x+3-2x-\left(-(1)/(4)+(1)/(2)x+5\right)=0\\\\x\left((3)/(4)-2-(1)/(2)\right)+\left(3+(1)/(4)-5\right)=0\quad\text{collect terms}\\\\-(7)/(4)x-(7)/(4)=0\quad\text{simplify}\\\\x+1=0\quad\text{multiply by $-(4)/(7)$}\\\\x=-1`

Checking by subsitution, we have ...

... (3/4)(-1) +3 -2(-1) = -1/4 +(1/2)(-1) +5

... -3/4 +3 +2 = -1/4 -1/2 +5

... 4 1/4 = 4 1/4 . . . . . answer checks OK