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:
Simplify
The answer is:
Step-by-step explanation:
We have the expressions:
Now, we need simplify:
We need to replace each term by the expressions:
We need to remember the rule of signs:
With this in mind we solve the parentheses:
let's group common terms
We must add and subtract common terms:
The answer is: