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## Solving Systems by substitution1. Solve the system: 2x - 3y = 7 x = 2(2, -2), (-2, -1), (2, 1), (2, -1) 2. save time For the system: 3x %2b 2y = 1 y = x %2b 3 After you substitute for y, you would solve the equation: 3x %2b 2x %2b 3 = 1, 3x %2b x %2b 3 = 1, 3x %2b 2(x %2b3) = 1, 3x %2b 2 = x %2b 3 3. For the system: 3x %2b 2y = 1 y = x %2b 3 Solve by substitution. (-2, -1), (1, -2), (2, -1), (-1, 2) 4. For the system: 3x %2b y = -1 x %2b 2y = 3 Solve the first equation for y. y = -1/2 x %2b3/2, y = -3x -1, y = 3x - 1, y = 3x - 1 5. For the system: 3x %2b y = -1 x %2b 2y = 3 After solving for y, substitute into the 2nd equation to get x %2b -6x - 1 = 3, x %2b 2(3x - 1) = 3, x %2b 2(-3x - 1) = 3, 3x %2b 2(-3x -1) = 1 6. Solve: 3x %2b y = -1 x %2b 2y = 3 (-1, 2), (1, -2), (-1, -2), (1, 2) 7. The sum of two numbers is 24 and their difference is 6. Write the equations you could use to find the numbers. x - y = 24 x - y = 6, x - y = 24 x %2b y = 6, x %2b y = 24 x %2b y = 6, x %2b y = 24 x - y = 6 8. educational games The sum of two numbers is 36. The second number is three times the first number. Write the equations you could use to find the numbers. Let x =1st number. x %2b y = 36 x = 3y active teaching , x %2b y = 36 y = x %2b 3 create online tests , x %2b y = 36 y = 3x, x %2b y = 36 x = y %2b 3 9. Alex has 10 coins in his pocket. There are only nickels and dimes. If the total value of the coins is 60 cents, how many of each does he have? 6 nickels, 3 dimes, 6 nickels, 4 dimes, 4 nickels, 6 dimes, 8 nickels, 2 dimes |