Final answer:
To solve the equation 5/9d= 9/10a, cross-multiply to isolate the variable d. Then, check the solution by substituting the value of d and checking if the equation is true.
Step-by-step explanation:
To solve the equation 5/9d= 9/10a, we need to isolate the variable d on one side of the equation. To do this, we can cross-multiply: multiplying the numerator of the left side by the denominator of the right side, and multiplying the denominator of the left side by the numerator of the right side.
Step 1:
Multiply both sides of the equation by 9 to eliminate the denominator of the left side:
(5/9) * 9 * d = (9/10) * 9 * a
.
Step 2:
Simplify both sides:
d = (45/10) * a
.
Step 3:
To check the solution, substitute the value of
d
into the original equation and simplify both sides. Then, substitute the given values and check if the equation is true or not.