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Dovator [93]
3 years ago
12

For the equation 2(4x+10)=8x+k what value of k will create infineltly many solutions please help

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
3 0

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

2(4x+10)=8x+k

solving

2(4x+10)=8x+k

8x+20 = 8x+k

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

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

2(4x+10)=8x+k

8x+20 = 8x+k

Put k = 20 in the equation

8x+20 = 8x+20

8x+20 - 8x+20 = 0

0 = 0

equations with infinitely many solutions have the same expressions on both sides.

This means the statement is always true.

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