What value of y would make the expression yb−6+7+2b−3b+1 equivalent to 5b+2 ?(1 point)
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5 answers
y = 3
y = 3 is wrong
Apologies for the mistake. Let's try again.
To make the expression yb−6+7+2b−3b+1 equivalent to 5b+2, we need to combine like terms on both sides.
On the left side of the equation, we have:
yb - 6 + 7 + 2b - 3b + 1
Combining like terms:
(y + 2 - 3 + 1)b - 6 + 7
Simplifying further:
(y)b - (1)b + (1)
To make this expression equivalent to 5b + 2, we compare the coefficients of the variable b:
y = 5
1 = 2
Since 1 is not equal to 2, there is no single value of y that would make the expression equivalent to 5b + 2.
To make the expression yb−6+7+2b−3b+1 equivalent to 5b+2, we need to combine like terms on both sides.
On the left side of the equation, we have:
yb - 6 + 7 + 2b - 3b + 1
Combining like terms:
(y + 2 - 3 + 1)b - 6 + 7
Simplifying further:
(y)b - (1)b + (1)
To make this expression equivalent to 5b + 2, we compare the coefficients of the variable b:
y = 5
1 = 2
Since 1 is not equal to 2, there is no single value of y that would make the expression equivalent to 5b + 2.
DO BETTER
Apologies for the mistake. Let's try again.
To make the expression yb − 6 + 7 + 2b − 3b + 1 equivalent to 5b + 2, we need to combine like terms on both sides.
On the left side of the equation, we have:
yb − 6 + 7 + 2b − 3b + 1
Combining like terms:
yb + (2b − 3b) + (−6 + 7 + 1)
Simplifying further:
(y − b) b + 2
To make this expression equivalent to 5b + 2, we compare the coefficients of b:
y − b = 5 (1)
2 = 2 (2)
From equation (2), we can see that the coefficients of 2 on both sides are equal, so we can ignore it for now. From equation (1), we can see that the coefficient of b on the right side is 5.
So, to make the expression equivalent, we need y − b = 5.
To solve for y, we can add b to both sides:
y − b + b = 5 + b
y = 5 + b
Therefore, any value of y that satisfies this equation would make the expression equivalent to 5b + 2.
To make the expression yb − 6 + 7 + 2b − 3b + 1 equivalent to 5b + 2, we need to combine like terms on both sides.
On the left side of the equation, we have:
yb − 6 + 7 + 2b − 3b + 1
Combining like terms:
yb + (2b − 3b) + (−6 + 7 + 1)
Simplifying further:
(y − b) b + 2
To make this expression equivalent to 5b + 2, we compare the coefficients of b:
y − b = 5 (1)
2 = 2 (2)
From equation (2), we can see that the coefficients of 2 on both sides are equal, so we can ignore it for now. From equation (1), we can see that the coefficient of b on the right side is 5.
So, to make the expression equivalent, we need y − b = 5.
To solve for y, we can add b to both sides:
y − b + b = 5 + b
y = 5 + b
Therefore, any value of y that satisfies this equation would make the expression equivalent to 5b + 2.
11 answers