Twelve questions on solving a pair of equations, on the two structural cases where a pair has no solution or infinitely many, and on the questions that…
12 questions • Zestly
• Consider the system $x + y = 10$ and $x - y = 4$. What is the value of $x$?
• Consider the system $2x + 3y = 12$ and $x - y = 1$. What is the value of $y$?
• Given the system $y = 2x - 3$ and $3x + y = 7$, what is the value of $x$?
• If $5x + 3y = 20$ and $2x + y = 9$, what is the value of $3x + 2y$?
• The system $3x + 2y = 7$ and $ax + 4y = 10$, where $a$ is a constant, has no solution. What is the value of $a$?
• The system $x + 2y = 4$ and $3x + 6y = c$, where $c$ is a constant, has infinitely many solutions. What is the value of $c$?
• In the system $2x - y = 3$ and $6x - 3y = c$, $c$ is a constant. For which values of $c$ does the system have no solution?
• A campus store sells pens for two dollars each and notebooks for five dollars each. A student buys $10$ items altogether and pays $41$…
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