Notes: Solving Systems of Equations by Substitution
Name:_______________________________________ Date:______________ Period: ______1-14 Solving Systems of Equations by SubstitutionClassworkRemember when Graphing Systems of Equations: A system of equations has one solution when the graphs of the lines _______.A system of equations has no solution when the graphs of the lines are _______.A system of equations has infinitely many solutions when the graphs of the lines ____________________________________________.Another method of solving systems of equations is by substitution.Look for an equation with a coefficient of 1 for either of the variables.Isolate the single variable.Substitute the expression of the single variable into the 2nd equation.Solve for the variable.Substitute the found variable into an original equation and solve. Give answer as an ordered pair.1.y = 32.x = 6 - y2y + x = 33y = -2x + 2 3.x + y = 3 4.y = 3x - 72y + 2x = 4 3x = y + 75. The length of a rectangle is five more than the width. If the perimeter of the rectangle is 22 feet, find the length and the width.Define your variables.Write an equation that represents the relationship between the length and the width.Write an equation that represents the perimeter of the rectangle.Using substitution, solve the problem.What is the length?F. What is the width? ................
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