how do I solve : 1/2 + 2/x =3/4.
thanks for helping!
x+2.2=3/4
over 2x
x+4=3/4
over 2x
2x+2.4=3x
2x+8=3x
answer: 8=x
sorry i don't get
can u explain more clearly pls.
1/2 + 2/x =3/4
Multiply both sides by x.
1/2 x + 2 = 3/4 x
Subtract 1/2 x from both sides.
2 = 1/4 x
Multiply both sides by 4.
x = 8
I hope this helps.
To solve the equation 1/2 + 2/x = 3/4, let's go through the steps:
Step 1: Clear the denominators
To eliminate the fractions, we multiply every term by the least common denominator (LCD) of 2, x, and 4, which is 4x.
Multiply 1/2 by 4x: (4x) * (1/2) = 2x
Multiply 2/x by 4x: (4x) * (2/x) = 8
Multiply 3/4 by 4x: (4x) * (3/4) = 3x
After multiplying, we have the equation: 2x + 8 = 3x
Step 2: Isolate the variable
Rearrange the equation by moving all the terms with the variable 'x' to one side and the constant terms to the other side.
Subtract 2x from both sides: 2x + 8 - 2x = 3x - 2x
This simplifies to: 8 = x
So the solution is: x = 8.
Therefore, the value of 'x' that satisfies the equation 1/2 + 2/x = 3/4 is x = 8.