Question

If c, equals, y, plus, 5c=y 5 and d, equals, y, squared, minus, y, minus, 9, commad=y 2 −y−9, find an expression that equals 2, c, minus, d2c−d in standard form.

Answer 1

An expression for 2c - d given that c = y + 5 and d = y^2 - y - 9 is found by substituting c and d and simplifying the result. The simplified expression in standard form is -y^2 + 3y + 19.

Step-by-step explanation:

To find an expression for 2c - d given that c = y + 5 and d = y^2 - y - 9, we first need to substitute the expressions for c and d into the equation 2c - d.

Substitute c into the equation 2c - d:

• 2c = 2(y + 5) = 2y + 10

Now, substitute d:

• d = y^2 - y - 9

Combine the expressions:

• 2c - d = (2y + 10) - (y^2 - y - 9)
• = 2y + 10 - y^2 + y + 9

Combine like terms:

• = -y^2 + 3y + 19

The expression 2c - d in standard form is -y^2 + 3y + 19.