If you buy six pens and one mechanical pencil, it will cost $9. If you buy four pens and two mechanical pencils, it will cost $8
. How much does each pen and mechanical pencil cost?
if you let p=the cost of pen
m= the cost of mechanical pencil
6p+1m=$9
4p+2m=$8
p=? m=?
please help what do i do to find these variables? thank u
1 answer:
Use Substitution or Elimination
1. pick one equation and solve for a variable
6p + 1m = 9
1m = 9-6p
m = 9 - 6p/ 1
m= 9-6p
2. substitute m into one of the equations given
4p + 2 ( 9-6p) = 10
4p + 18 - 12p = 10
4p - 12p = 10 - 18
-8p = -8 (divide both sides by -8)
p = 1
3. Insert p=1 into any of the equations
6p+1m = 9
6(1)+1m =9
6 + 1m = 9
1m = 9-6
1m= 3
m = 3
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