Provide an appropriate response.Is it possible for a system of two linear equations in two variables to be both inconsistent and dependent? Why or why not?

What will be an ideal response?


No, it is not possible for a system of two linear equation in two variables to be both inconsistent and dependent. An inconsistent system of equations has no solution, but a dependent system has an infinite number of solutions. The graph of an inconsistent system of two linear equations in two variables is two parallel lines, while the graph of a dependent system of two linear equations in two variables is a single line.

Mathematics

You might also like to view...

Decide whether or not the functions are inverses of each other.f(x) = (x - 2)2, x ? 2; g(x) =  + 2

A. Yes B. No

Mathematics

Find the area of the geometric figure. Use 3.14 for ?.

A. 66.5 cm2 B. 133 cm2 C. 33.25 cm2 D. 22.5 cm2

Mathematics

Identify the following as an equation or an expression.19 + 8(x - 8)

A. Expression B. Equation

Mathematics

Divide the first polynomial by the second and state the quotient and the remainder.9x2 - 41x - 20, x - 5

A. Quotient: -9x - 4; remainder: 0 B. Quotient: x + 4; remainder: 0 C. Quotient: 9x + 4; remainder: 0 D. Quotient: 4x - 5; remainder: 0

Mathematics