what value of y would make the expression yb-6+7+2b-3b+1 equivalent to 5b+2?(1 point)
wrong
Apologies for the error. Let's re-evaluate the problem:
yb - 6 + 7 + 2b - 3b + 1 = 5b + 2
Combine like terms:
yb + 2b - 3b + (7 + 1) - 6 = 5b + 2
Simplify:
yb - b + 8 - 6 = 5b + 2
Combine like terms:
yb - b + 2 = 5b + 2
Subtract 2 from both sides:
yb - b = 5b
Rearrange:
yb = 6b
Divide both sides by b (assuming b is not 0):
y = 6
The value of y that would make the expression equivalent to 5b + 2 is 6.
To find the value of y that would make the expression equivalent to 5b + 2, we need to combine like terms on both sides of the equation.
yb - 6 + 7 + 2b - 3b + 1 = 5b + 2
Combining like terms:
(yb + 2b - 3b) + (7 + 1) - 6 = 5b + 2
Simplifying further:
yb - b + 8 - 6 = 5b + 2
Subtracting b from both sides:
(yb - b) + 8 - 6 = 5b + 2 - b
Simplifying:
(y - 1)b + 2 = 4b + 2
To make the expressions on both sides equal, (y - 1)b should be equal to 4b.
This implies that y - 1 = 4.
Adding 1 to both sides:
y = 4 + 1
y = 5
Therefore, the value of y that would make the expression equivalent to 5b + 2 is 5.