For the equation 2(4x+10)=8x+k what value of k will create infineltly many solutions please help
1 answer:
Answer:
The value of k = 20 for equation 2(4x+10)=8x+k to have infinitely many solutions.
Step-by-step explanation:
Given the expression
solving
We know that the equations with infinitely many solutions have the same expressions on both sides
It means the value of k can be determined by further simplifying such as
8x+20-8x = k
20 = k
Therefore, the value of k = 20 for equation 2(4x+10)=8x+k to have infinitely many solutions.
VERIFICATION:
Given
Put k = 20 in the equation
equations with infinitely many solutions have the same expressions on both sides.
This means the statement is always true.
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