find the solution of the equation of 3x+5/2x+1=1/3
Answers
Answer:
-2
Step-by-step explanation:
hi fella , see it here
the qns is 3x+5/2x+1=1/3 , so cross multiply it i.e :- 3(3x+5) = 1(2x+1)
9x+15 = 2x+1
9x-2x = 1-15
7x = -14
x= -2
hope it helped . ty....
Step-by-step explanation:
To solve the given linear equation, 3x + 5 - 2x = 1, for the variable x, begin by collecting like-terms on the left side in order to begin isolating the variable x as follows:
3x + 5 - 2x = 1 (Given)
3x + 5 + (-2x) = 1
3x + (-2x) + 5 = 1
3x - 2x + 5 = 1
(3 - 2)x + 5 = 1
(1)x + 5 = 1
x + 5 = 1
Now, subtract 5 from both sides of the equation in order to isolate the variable x on the left side, thus finally solving the equation for x as follows:
x + 5 - 5 = 1 - 5
x + 0 = -4
x = -4
CHECK (ALWAYS PERFORM THIS STEP, AND DO SO BACK IN THE ORIGINAL, GIVEN EQUATION!):
3x + 5 - 2x = 1
3(-4) + 5 - 2(-4) = 1
-12 + 5 + 8 = 1
-12 + 13 = 1
1 = 1
Therefore, x = -4 is indeed the solution to the given equation.
REMEMBER: For solving equations, WHATEVER YOU DO TO ONE SIDE OF THE EQUATION, YOU MUST DO TO THE OTHER SIDE.