5/2 x + 1/4 x = 11/4 +x
how to solve this?
I get 11/4=11/4+x
what steps do I have to take after that..
I would appreciate it if you showed me how to solve the whole equation! (: thnx
To solve the equation 5/2x + 1/4x = 11/4 + x, you can follow these steps:
Step 1: Simplify both sides of the equation.
On the left side, combine the fractions by finding a common denominator. The common denominator for 2 and 4 is 4. This gives us:
(10/4)x + (1/4)x = 11/4 + x
Step 2: Combine like terms.
Add the x terms on the left side of the equation:
(10/4 + 1/4)x = 11/4 + x
Simplify:
(11/4)x = 11/4 + x
Step 3: Get rid of the fractions.
In order to eliminate the fractions, you can multiply both sides of the equation by 4 (the least common denominator). Multiplying both sides by 4 yields:
4 * [(11/4)x] = 4 * (11/4 + x)
Simplify:
11x = 11 + 4x
Step 4: Solve for x.
To isolate the x term on one side of the equation, subtract 4x from both sides:
11x - 4x = 11 + 4x - 4x
Simplify:
7x = 11
Step 5: Solve for x.
Divide both sides of the equation by 7 to isolate the x variable:
7x/7 = 11/7
Simplify:
x = 11/7
So, the solution to the equation is x = 11/7.