Substitution Method: Solve the linear system. Y = 3x + 2 Equation 1 x + 2y=11 Equation 2.

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Presentation transcript:

Substitution Method: Solve the linear system. Y = 3x + 2 Equation 1 x + 2y=11 Equation 2

Solve the linear System Step 1: Solve for y. Equation 1 is already solved for y. Step 2: Substitute 3x +2 for y in Equation 2 and solve for x x + 2y = 11 Write equation 2. X+2(3x+2) =11 Substitute 3x +2 for y x + 6x + 4 = 11 Distribute

Solve linear system continue 7x + 4 = 11 Simplify ( Subtract 4 from each side) 7x = 7 7/7X = 7/7 Divide 7 from each side X = 1

Solve system of linear equation Step 3 Substitute 1 for x in the original Equation 1 to find the value of y. Y = 3x +2 = 3(1) +2 = 3+2 = 5 The solution is ( 1, 5)