6.2 System of Equation: Substitution Method

Notes: Solving Systems of Linear Equations using SUBSTITUTION

Examples:

Your Turn\y =?x

One high-speed Internet has a $50 setup fee and costs $30 per month. Another provider hasno setup fee and costs $40 per month. How many months will both providers cost the same?What will that cost be?

Solve each system using substitution method. Substitute what's in the parentheses

1) (y) = x

-t/^C#

7)f x)+ 2y = 8x<l2-3y\^

8) y =(x + 4)3x-2»=-

9) 3x + y = -8y <-2x - 6}

$~-u**+«K \H~(>

10) The Cuellar family is deciding between two lawn care services. Green Lawn charges a $49 startup fee, plus $29 permonth. Grass Team charges a $25 startup fee, plus $37 per month.a) In how many months will both lawn care services cost the same? What will that cost be?b) I the family will use the service for only 6 months, which is the better option?