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5x-4 The left side of an equation is shown in the diagram. Select an expression for the right side of the equation so that the...Question
V5x-4
The left side of an equation is shown in the diagram. Select an expression for the right side of the equation so that the resulting equation has NO SOLUTION. and why
2(x-2)
6+5(x-2)
2x+4+3x
3x-4+2x
The left side of an equation is shown in the diagram. Select an expression for the right side of the equation so that the resulting equation has NO SOLUTION. and why
2(x-2)
6+5(x-2)
2x+4+3x
3x-4+2x
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Answered by
GPT 3.5
To create an equation with no solution, we need to ensure that the equation is contradictory or inconsistent. This means that the left side and right side cannot be equal for any value of x.
The expression that will create a contradictory equation when combined with V5x-4 is 3x-4+2x.
This is because if we rearrange the expression and combine like terms, we get:
V5x-4 = 3x-4+2x
V5x-4 = 5x-4
If we subtract 5x from both sides and subtract 4 from both sides, we get:
V-5 = 0
This equation is contradictory since it states that the square root of a number (V-5) is equal to 0, which is not possible. Therefore, there is no value of x that will satisfy this equation, resulting in no solution.
The expression that will create a contradictory equation when combined with V5x-4 is 3x-4+2x.
This is because if we rearrange the expression and combine like terms, we get:
V5x-4 = 3x-4+2x
V5x-4 = 5x-4
If we subtract 5x from both sides and subtract 4 from both sides, we get:
V-5 = 0
This equation is contradictory since it states that the square root of a number (V-5) is equal to 0, which is not possible. Therefore, there is no value of x that will satisfy this equation, resulting in no solution.
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