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Solving Systems Check Point Quiz Corrections
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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
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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 x + 2y = 8 -5x -5x Subtract 5x from both sides 2y = -5x + 8 Divide both sides by y = -5/2x + 4
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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
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