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Determine if the following equation is linear. If the equation is linear, convert it to standard form

Determine if the following equation is linear. If the equation is linear, convert-example-1
User Muli Yulzary
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2 Answers

16 votes
16 votes

Final answer:

A linear equation can be expressed in the form y = mx + b. To determine if an equation is linear, check if it can be rearranged to this form. To convert an equation to standard form, rearrange it so that all variables are on one side and the constant term is on the other side.

Step-by-step explanation:

A linear equation is an equation that can be expressed in the form y = mx + b, where m and b are constants. In order to determine if an equation is linear, we need to check if it can be rearranged to this form. If the equation is already in the form y = mx + b, then it is linear. If not, it is not linear.

To convert an equation to standard form, we need to rearrange it so that all the variables are on one side of the equation and the constant term is on the other side. For example, if we have an equation like 4y + 3x = 7, we can rearrange it to 3x + 4y = 7.

User Alexkasko
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20 votes
7x + 8(y +x) = 9
7x + 8y + 8x = 9 expand brackets
15x + 8y = 9 collect like terms
This is linear and is in standard form ax + by = c
User Carolyne
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