13/6-11/15x=0.15
x=
13/6 - 11/15x = 0.15.
-11/15x = 0.15-13/6,
-11/15x = 15/100-13/6,
-11/15x = 3/20-13/6,
-11/15x = 9/60-130/60 = -121/60,
Invert both sides:
-15x/11 = -60/121,
-15x*121 = 11*(-60)
-1815x = -660,
X = -660/-1815 = 44/121.
To solve for x, we will follow the order of operations (PEMDAS). The given equation is:
13/6 - 11/15x = 0.15
Let's simplify the equation step by step:
Step 1: Multiply the denominators by the whole equation to eliminate the fractions:
15 * (13/6) - 6 * (11/15x) = 0.15 * 6 * 15
Step 2: Simplify the equation:
(15*13)/(6) - (6*11)/(15x) = 0.15 * 90
Step 3: Simplify the fractions:
(195/6) - (66/5x) = 13.5
Step 4: Multiply each term by the least common multiple (LCM) of the denominators to eliminate x from the denominator:
5x*(195/6) - 5x*(66/5x) = 5x*(13.5)
Step 5: Simplify the equation:
(975x/6) - 66 = 67.5x
Step 6: Move x terms to one side and constant terms to the other side:
975x/6 - 67.5x = 66
Step 7: Combine like terms:
(975x - 405x)/6 = 66
Step 8: Simplify the equation:
570x/6 = 66
Step 9: Multiply both sides of the equation by 6:
570x = 396
Step 10: Divide both sides of the equation by 570:
x = 396/570
Step 11: Simplify the equation:
x = 6/9 or x = 2/3
Therefore, x can be either 6/9 or 2/3.
To solve the given equation for x, follow these steps:
Step 1: Convert the fractions to decimal form.
To convert 13/6 and 11/15 into decimal form, divide the numerator by the denominator:
13/6 ≈ 2.1667
11/15 ≈ 0.7333
Step 2: Substitute the decimal values into the equation.
Now, plug in the decimal values into the equation:
2.1667 - 0.7333x = 0.15
Step 3: Isolate the variable term.
To isolate the variable term (x), subtract 2.1667 from both sides of the equation:
2.1667 - 2.1667 - 0.7333x = 0.15 - 2.1667
-0.7333x = -2.0167
Step 4: Solve for x.
To solve for x, divide both sides of the equation by -0.7333:
(-0.7333x) / -0.7333 = -2.0167 / -0.7333
x ≈ 2.7493
Therefore, the value of x that satisfies the equation is approximately 2.7493.