Hich value, when placed in the box, would result in a system of equations with infinitely many solutions?
1 answer:
The value placed in the box that makes the system of equation with infinitely many solution is 12.
<h3>How to solve an infinitely many solution equation?</h3>An infinite solution has both sides equal. For example, 6x + 2y - 8 = 12x +4y - 16. If we simplify the equation we will notice both sides are equal. This means the equation has an infinitely many solution.
Hence,
y = -2x + 4
Therefore,
6x + 3y = 12
divide the equation(ii) by 3
2x + y = 4
y = -2x + 4
Therefore, both equation are equal if the the box is filled with 12. This means for the value placed in the box that makes the system of equation with infinitely many solution is 12.
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Answer: School Y has 4 points and School X has 12 points.
Explanation:
Let the number of points School Y has be x
Let the number of points School X has be 3x
According to question, we get
So, the number of point School Y has 4.
and number of points School X has
Hence, School Y has 4 points and School X has 12 points.