System of Linear Equations Quiz

Froggy Jumps

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Linear systems mastery

huda mohy

Egypt

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System of Linear Equations Quiz


Froggy Jumps System of Linear Equations QuizVersion en ligne Linear systems mastery par huda mohy 1 Solve the system: 2x + 3y = 6 and x − y = 1. What are x and y? a x = 1, y = 2 b x = 1.8, y = 0.8 c x = 2, y = 0 2 Are the lines 3x + y = 4 and 6x + 2y = 5 parallel, intersecting, or identical? a Infinite solutions b One solution c No solution (inconsistent) 3 Solve: x − y = 2 and 2x + y = 5. What are x and y? a x = 2, y = 1 b x = 7/3, y = 1/3 c x = 3, y = 0 4 Solve by substitution: 2x − y = 1 and x + y = 4. What are x and y? a x = 2, y = 2 b x = 5/3, y = 7/3 c x = 4, y = 0 5 System with y = 3 from first equation and x + y = 3 from second: what is the solution? a x = 3, y = 0 b x = 0, y = 3 c x = 1, y = 2 6 If the second equation is twice the first (and identical to it), how many solutions exist? a No solution b Exactly one solution c Infinite solutions 7 System: x + y = 1 and x + y = 3. How many solutions exist? a No solution b Infinite solutions c One solution 8 Solve: 3x − y = 4 and x + y = 1. What are x and y? a x = 2, y = -1 b x = 1, y = 0 c x = 1.25, y = -0.25 9 If 2x + 3y = 7 and 4x + 6y = 14, what is true about the system? a Infinite solutions (dependent) b No solution c Exactly one solution 10 Which condition guarantees a unique solution for a 2x2 system? a Determinant a11a22 − a12a21 != 0 b b1 ≈ b2 c Both equations must be identical