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# Solving Systems by substitution

1. 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