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

Step-by-step explanation:

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

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

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

Answer 2

Answer:x=-1 or D

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