Question

What value of y

would make the expression yb−6+7+2b−3b+1
equivalent to 5b+2
?

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the value of y that would make the two expressions equivalent, we need to combine like terms on both sides of the equation.

Given expression on the left side: yb - 6 + 7 + 2b - 3b + 1
Simplifying: yb + 2 + 2b - 3b + 1

Expression on the right side: 5b + 2

To make these two expressions equivalent, the coefficients of b on both sides should be equal. Equating the coefficients of b:

yb + 2b - 3b = 5b

This simplifies to:

yb - b = 5b

Combining like terms:

(y - 1)b = 5b

To make these expressions equivalent, y - 1 must be equal to 5. Adding 1 to both sides of the equation:

y - 1 + 1 = 5 + 1
y = 6

Therefore, the value of y that would make the two expressions equivalent is 6.