Question:
Solving Systems of Linear Equations(Substitution, Addition)
Solve the following systems by substitution. Determine whether the equations are independent, dependent or inconsistent
1. y = -3x + 19
y = 2x - 1
2. 4 = -4x - 7
y = 3x
3. y = x + 4
3y - 5x = 6
4. 2x - y = 4
2y = 4x - 6
5. x + 3y = 2
-x + y = 1
Solve each system by addition.
6. x + y = 7
x - y = 9
7. x - 2y = -1
-x + 5y = 4
8. 3x + 5y = -11
x - 2y = 11
9. 2x = 2 - y
3x + y = -1
Solve the following systems by the addition method. Determine whether the equations are independent, dependent or inconsistent.
10. x - y = 3
-6x + 6y = 17
11. 3/7x + 5/9y = 27
1/9x + 2/7y = 7
12. 3x - 2.5y = 7.125
2.5x - 3y = 7.3125