Ryan is trying to determine whether 2.7x – 5.9 is equivalent to 2.8x – 5.9. To test this, he substitutes 0 for x into both expressions. Explain why this will not give him the correct answer.

Respuesta :

The coefficients of x are different in the expressions, but the constant values are the same. Zero times any value is zero, so both expressions will be equal to –5.9. If Ryan tried any other number, he would see that the expressions are not equivalent.

The coefficient of x in both expressions are different. So, if x in each expression is replaced with zero, the answer would be wrong.

In order to determine if both expression are equivalent, equation each expression to zero. Then, make x the subject of the formula in each. equation.

The first expression

2.7x - 5.9

2.7x - 5.9 = 0

2.7x = 5.9

x = 2.185.

The second expression

2.8x - 5.9

2.8x - 5.9 = 0

2.8x = 5.9

x = 2.107.

Substitute for x in each equation and solve for x

2.7(2.185) - 5.9 = 0

2.8(2.107) - 5.9 = 0

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