How to solve 5y + 3y =

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve 5y + 3y = | Equatix

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Question

$$\quad 5 y + 3 y =$$

Differentiate w.r.t. y

$8$

Steps Using Definition of a Derivative

Combine $5y$ and $3y$ to get $8y$.

$$\frac{\mathrm{d}}{\mathrm{d}y}(8y)$$

The derivative of $ax^{n}$ is $nax^{n-1}$.

$$8y^{1-1}$$

Subtract $1$ from $1$.

$$8y^{0}$$

For any term $t$ except $0$, $t^{0}=1$.

$$8\times 1$$

For any term $t$, $t\times 1=t$ and $1t=t$.

$$8$$

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Evaluate

$8y$

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Example

Question

Differentiate w.r.t. y

Steps Using Definition of a Derivative

Evaluate

Solution Steps