Asked by math man
What value of y
would make the expression yb−6+7+2b−3b+1
equivalent to 5b+2
?
would make the expression yb−6+7+2b−3b+1
equivalent to 5b+2
?
Answers
There are no human answers yet.
Answered by
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.
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.
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