Question

(cy^3) (9y^d)= 18y^6 Find the values for c and d that would make the following equation true.

Answer 1

The answers are 2 and 3. After multiplying together cy^3 and 9y^d, you'll get 9c*y^d+3. From there, set it equal to 18y^6. You can split apart 18y^6 into 18 and y^6, so you can solve for the different variables. Split apart 9c*y^d+3 into 9c and y^d+3, and set 9c=18. C will equal 2. Solve the other to get 3.

Answer 2

The value of c is 2 and d is 3.

What is an Equation?

An equation is a statement that shows the equality of two algebraic expressions.

The equation is (cy³) (9$\rm y^d$)= 18y⁶

Solving the equation by exponent rule

$\rm a^m * a^n = a^{m+n}$

9*c $\rm y^{3+d}$ = 18y⁶

For the equation to be true, the coefficient and exponent of y must be equal

Comparing the coefficient,

9c = 18

c =2

Comparing the exponents

3+d = 6

d = 3

Therefore, the value of c is 2 and d is 3.

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