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kupik [55]
3 years ago
10

Determine if each equation is a linear equation.

Mathematics
1 answer:
Lady_Fox [76]3 years ago
4 0

Answer:

Linear-1,2,3,6

Nin-Linear-4,5

Step-by-step explanation:

A linear equation is an equation in which the highest power of the  variable is 1.

Out of the given equations, the following are linear.

1) 5x_1 + x_2 - 7x_3 = 4

2) 5x_1 + 4.6x_2 + 12x_3 = -5

3) 3x_1 - x_3 = -5x_2 + 7

6) 6x_1 - 4x_2 + x_3 = 0

These equations on the other hand are nonlinear.

4) 3x_1x_2 + x_3 = 5

5) 4x_1^3 + x_2 = 5

No 4 contains a term which is the product of two variables therefore it is not linear.

No 5 contains a term whose highest power is 3. Such an equation is a Cubic Equation.

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