Question

Which of these equations is linear

A. -3x+y=8
B. y=x²-3
C. 4y-2x³=0
D. 3=xy+9

Answer 1

A. -3x + y = 8

Explanation:

Definition of a Linear Equation:

• A linear equation is an equation for a straight line.
• The highest power of its variables is always one.
• Each variable is multiplied by a constant only.

A. -3x + y = 8

This is a linear equation as the highest power of its variables is one, and each variable is multiplied by a constant only.

B. y = x² - 3

This is not a linear equation as the highest power of the term in x is 2.

C. 4y - 2x³ = 0

This is not a linear equation as the highest power of the term in x is 3.

D. 3 = xy + 9

This is not a linear equation as the x and y variables are multiplied by each other rather than by a constant.

Answer 2

a) -3x + y = 8

Explanation:

Now we have to,

→ find which of these equations is linear.

Format of linear equation,

→ Ax + By = C

Then the linear equation is,

→ Ax + By = C

→ -3x + y = 8

Hence, answer is -3x + y = 8.