10.2 Solving Systems Using Substitution

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10.2 Solving Systems Using Substitution One method to solve a system is ________ , another is by __________ . is a method by which you _______ ___________ with an __________ which usually contains the ______________ . Therefore, you end up with an equation that only has ___ ________ . Once you know the _____ of that _______ , you can ________ that value to find the _____ of the ____________ .

{ 1. Solve by substitution. y = 5x + 9 y = -3x + 37 You could have used the other equation to solve for y.

2. Mrs. Janeski wants to have a clown deliver helium balloons to her daughter’s birthday party. Two companies offer this service. Company A charges 80 c a balloon, plus a $6 delivery fee. Company B charges 95 c per balloon but has no delivery fee. For how many balloons is the cost the same? (Let x = the # of balloons. Let y = the cost of balloons.)

Both companies will cost the same if you are ordering balloons. Choose to substitute for one variable. 2nd Solve the equation for that variable. Both companies will cost the same if you are ordering balloons.