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Chapter 4: Problem 67

Will help you prepare for the material covered in the first section of the next chapter. $$\text { Subtract: }-9 y^{4}-\left(-2 y^{4}\right)$$

Short Answer

Expert verified
The solution to the given subtraction problem is \(-7y^{4}\)

Step by step solution

01

Identify Coefficients and Degrees

The first term is \(-9 y^{4}\) and the second term is \(-2 y^{4}\). Note that both have the same degree \(4\), and that they are both multiply by \(y\). The coefficients for these terms are \(-9\) and \(-2\), respectively.
02

Apply Principle of Subtracting Negative

Recall that subtracting a negative number is the same as adding a positive number. Here, we are subtracting negative 2 from negative 9, so it is the same as adding positive 2 to negative 9.
03

Perform the Subtraction

When we add 2 to -9, we get -7. The result is \(-7y^{4}\)

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Most popular questions from this chapter

Read Exercise \(72 .\) Then use a graphing utility to solve the systems. $$\left\\{\begin{array}{c}3 x-y=5 \\ -5 x+2 y=-10\end{array}\right.$$

Describe the conditions in a problem that enable it to be solved using a system of linear equations.

In Exercises \(1-44,\) solve each system by the addition method. If there is no solution or an infinite number of solutions, so state. Use set notation to express solution sets. $$\left\\{\begin{array}{l} 4 x=36+8 y \\ 3 x-6 y=27 \end{array}\right.$$

Multiply both sides of \(x-5 y=3\) by \(-4\) and simplify.

In Exercises \(61-68,\) solve each system or state that the system is inconsistent or dependent. $$\left\\{\begin{array}{l} 5(x+1)=7(y+1)-7 \\ 6(x+1)+5=5(y+1) \end{array}\right.$$
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