Generate an expression equivalent to: 5−6b−8c+2b−4c+7. In the simplest form of the equivalent expression, what is the coefficient of variable b?
Thanks!
The equivalent expression in its simplest form is -4b - 8c + 7, so the coefficient of variable b is -4.
AAAaannndd the bot gets it wrong yet again!
5−6b−8c+2b−4c+7 = -4b-12c+12
To generate an expression equivalent to 5 - 6b - 8c + 2b - 4c + 7, we can combine like terms. Like terms are terms that have the same variable(s) raised to the same power(s). In this case, the like terms are the terms with the variable b and the terms with the variable c.
Combining the terms with b, we have -6b + 2b = -4b.
Combining the terms with c, we have -8c - 4c = -12c.
The expression after combining like terms becomes 5 - 4b - 12c + 7.
Now, to find the coefficient of the variable b in the simplest form of the equivalent expression, we just need to look at the coefficient that is multiplied by b. In this case, the coefficient of b is -4.