Part 1- Given the system of equations 2x + 3y = 1 and 14x + 21y = 7, which of th

Question

Part 1- Given the system of equations 2x + 3y = 1 and 14x + 21y = 7, which of the following statements is true?
A. The system has no solutions.
B. The system has one and only one solution (- 1, 1).
C. The system has an infinite number of solutions.
D. The system has one and only one solution (7, 7).

Part 2- On a coordinate plane, if a line crosses the x axis at point (2, 0) and crosses the y axis at point (0, 5), what is the equation of that line?
A. 5x - 2y = - 10
B. 5x + 2y = 10
C. x = 2
D. y = 5

Explanation / Answer

7(2x+3y = 1) --> 14x +21y = 7

So the system has infinitely many solutions.

Answer C.

2)

y - 0 = ((5 - 0)/(0 - 2))(x - 2)

y = -5/2 (x - 2) = -5x/2 + 5

--> 2y + 5x = 10

Answer B.

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