Provide an appropriate response.Consider the linear equation in three variables x - y + z = 1. Find a pair of linear equations that, when considered together with the given equation, will form a system having no solution.

What will be an ideal response?


Answers will vary. One example: x - y + z = 3 and 3x + 2y - z = 0

Mathematics

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Solve the given differential equation.6x dy + 3y dx + 3y dy = 0

A. 3xy2 + y3 = 0 B. 3xy2 + y3 = c C. 3xy3 + y2 = c D. y3 = 3xy2 + c

Mathematics

Solve the equation.0.06y + 0.08(5000 - y) = 0.48y

A. 200 B. 2000 C. 2400 D. 800

Mathematics

Factor completely, if possible.x4 - 16

A. (x2 - 4)(x + 2)(x - 2) B. (x2 + 4)(x + 2)(x - 2) C. Prime D. (x + 2)2(x - 2)2

Mathematics

Solve the linear inequality. Other than ?, use interval notation to express the solution set and graph the solution set on a number line.8x - 4 ? 7x - 8

A. (-?, -4]

B. [-4, ?)

C. (-?, -4)

D. (-12, ?)

Mathematics