A system of equations to have no real solution, the lines of the equations must be parallel to each other. There were 10 multiple choice question, while 15 descriptive type questions.
Inconsistent System
A system of equations to have no real solution, the lines of the equations must be parallel to each other.
Consistent System
1. Dependent Consistent System
A system of the equation to be Dependent Consistent System the system must have multiple solutions for which the lines of the equation must be coinciding.
2. Independent Consistent System
A system of the equation to be Independent Consistent System the system must have one unique solution for which the lines of the equation must intersect at a particular.
Let the number of multiple choice questions be represented by x, while the number of descriptive questions be represented by y. Therefore, the total questions can be written as,
x + y = 25
Solving for x,
y = 25 - x
The total score of Ronald can be written as,
3x + 8y = 150
3x + 200 - 8x = 150
-5x = -50
x = 10
Substitute the value of x in any one of the equation,
x + y = 25
10 + y = 25
y = 15
Hence, there were 10 multiple choice question, while 15 descriptive type questions.
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