Question

O.9c + 1.89r = 17.01 c=18.9 - 2.1r equation answer

Answer 1

`c=18.90-2.1r`

Explanation:

The complete question is

A chef bought $17.01 worth of ribs and chicken. Ribs cost 1.89 per pound and chicken costs 0.90 per pound. The equation 0.90 +1.89r = 17.01 represents the relationship between the quantities in this situation.

Show that each of the following equations is equivalent to 0.9c + 1.89r = 17.01.

Then, explain when it might be helpful to write the equation in these forms.

a. c=18.9-2.1r. b. r= -10÷2c+9​

we have that

The linear equation in standard form is

`0.90c+1.89r=17.01`

where

c is the pounds of chicken

r is the pounds of ribs

step 1

Solve the equation for c

That means ----> isolate the variable c

Subtract 1.89r both sides

`0.90c=17.01-1.89r`

Divide by 0.90 both sides

`c=(17.01-1.89r)/0.90`

Simplify

`c=18.90-2.1r`

step 2

Solve the equation for r

That means ----> isolate the variable r

Subtract 0.90c both sides

`1.89r=17.01-0.90c`

Divide by 1.89 both sides

`r=(17.01-0.90c)/1.89`

Simplify

`r=9-0.48c`

therefore

The equation
`c=18.90-2.1r` is equivalent

The equation is helpful, because if I want to know the number of pounds of chicken, I just need to substitute the number of pounds of ribs in the equation to get the result.