Solving equations using substitution quick check
1. Solve the equation 3x - 2y = 8 when x = 2.
- Substitute x = 2 into the equation: 3(2) - 2y = 8
6 - 2y = 8
-2y = 2
y = -1
Therefore, the solution is x = 2 and y = -1.
2. Solve the equation 4a + 5b = 20 when a = 3.
- Substitute a = 3 into the equation: 4(3) + 5b = 20
12 + 5b = 20
5b = 8
b = 8/5 = 1.6
Therefore, the solution is a = 3 and b = 1.6.