Question

determine wether each equation is a linear equation. circle yes or no. If yes, write the situation in standard form.A. xy=6 B. y= -7+ 6xC. y= 2x+5

Answer 1

Answer:

a) No

b) Yes, 6x - y = 7

c) Yes, 2x - y = -5

Step-by-step explanation:

Given:

3 equations

To find:

the equation that represents a linear equation

A linear equation is in the form:

y = mx + b

We will compare the given equations with the equation above

a) xy = 6

No, this is not in the form above

b) y = -7 + 6x

y = 6x - 7

Yes, this is in the form of the equation of linear equation

c) y = 2x + 5

Yes, this is in the form of the equation of linear equation

The standard form of a linear equation:

Ax + By = C

we will rewrite equations b and c

`\begin{gathered} b)\text{ y = -7 + 6x} \\ 6x\text{ - y - 7 = 0} \\ 6x\text{ - y = 7} \\ \\ c)\text{ y = 2x + 5} \\ 2x\text{ - y + 5 = 0} \\ 2x\text{ - y = -5} \end{gathered}`