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Chapter 3: Q2. (page 179)

Determine whether each equation is a linear equation. Write yes or no. If yes, write the equation in standard form.

x2+3y=8

Short Answer

Expert verified

No, the equation is not a linear equation.

Step by step solution

01

Step 1. State the concept of standard form of linear equation.

Alinear equationis anyequationthat can be written in the form ax+by=0, where a and b are real numbers and x is a variable. This form is sometimes called the standard form of a linear equation.

No variable in alinear equationis raised to a power greater than 1. Linear equationsare those equations that are of the first order.

Standard form of Linear Equation is Ax+By+C鈥夆赌�=鈥夆赌�0, where A, B and C are any integer.

02

Step 2. Rewrite the equation in standard form.

In order to rewrite the equationx2+3y=8in standard form subtract 8 from both sides as follows:

x2+3y=8x2+3y鈭�8=8鈭�8x2+3y鈭�8=0

03

Step 3. State the Conclusion.

The equation is not in standard form because x is not a linear. Since the variables in the equation has the highest exponent as 2, so the equation is not linear.

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Most popular questions from this chapter

Find the slope of the line that passes through each pair of points.

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