Solving Systems Check Point Quiz Corrections

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Solving Systems Check Point Quiz Corrections

x y -3 3 x y 1 1/3 Solve each system of equations by graphing. 1. y = 2x – 4 2. x – y = 3 y = -x + 5 3x + y = 1

Convert the equations from standard form to slope-intercept. 3 Convert the equations from standard form to slope-intercept. 3. 6x + y = 5 -6x -6x  Subtract 6x from both sides y = -6x + 5 4. 5x + 2y = 8 -5x -5x  Subtract 5x from both sides 2y = -5x + 8  Divide both sides by 2 2 2 2 y = -5/2x + 4

Solve the system of equations by substitution. 5 Solve the system of equations by substitution. 5. y = 2x – 9 3x + 2y = -4 3x + 2y = -4  Rewrite the 2nd equation 3x + 2(2x – 9) = -4  Substitute 2x – 9 for y 3x + 4x – 18 = -4  Distribute 7x – 18 = -4  Combine like terms 7x = 14  Add 18 to both sides x = 2  Divide both sides by 7 Solution: (2, -5) y = 2x – 9  Rewrite the 1st equation y = 2(2) – 9  Substitute 2 for x y = 4 – 9  Multiply y = -5  Subtract