Question

Question

What value of y
would make the expression yb−6+7+2b−3b+1 equivalent to 5b+2
?(1 point)
blank

Answer 1

The expression yb - 6 + 7 + 2b - 3b + 1 can be simplified as follows:

y * b - 6 + 7 + 2 * b - 3 * b + 1

Combining like terms:

yb - 6 + 7 + 2b - 3b + 1

Simplifying further:

yb - 3 + 1

yb - 2

To make this expression equivalent to 5b + 2, we need:

yb - 2 = 5b + 2

To isolate the variable y, we can subtract yb from both sides:

-2 = 5b + 2 - yb

Next, we can subtract 2 from both sides:

-2 - 2 = 5b + yb

Simplifying:

-4 = (5 + y)b

To find the value of y, we need to isolate it. Dividing both sides by b:

-4/b = 5 + y

Subtracting 5 from both sides:

-4/b - 5 = y

So, the value of y that makes the expression equivalent to 5b + 2 is y = -4/b - 5.

Answer 2

wrong

Answer 3

I apologize for the incorrect response.

Looking at the given expression: yb - 6 + 7 + 2b - 3b + 1

We can simplify it by combining like terms:
yb + 2b - 3b - 6 + 7 + 1

This simplifies to:
(y + 2 - 3)b + 2

To make this expression equivalent to 5b + 2, we need the coefficients of b to be equal.

Therefore, (y + 2 - 3) should be equal to 5.

Simplifying this equation:
y + 2 - 3 = 5

Combining like terms:
y - 1 = 5

Adding 1 to both sides of the equation:
y = 5 + 1

Therefore, the value of y that makes the expression equivalent to 5b + 2 is y = 6.