Answer: (2, 1)
Step-by-step explanation:
The given equations are
y = - 2x + 5,
y = x/2
We would apply the method of substitution, By substituting y = 1/2x into y = - 2x + 5, we have
- 2x + 5 = x/2
By multiplying through by 2, it becomes
2 * - 2x + 2 * 5 = x/2 * 2
- 4x + 10 = x
Adding 4x t both sides, it becomes
- 4x + 4x + 10 = x + 4x
10 = 5x
Dividing both sides by 5, we have
10/5 = 5x/5
2 = x
x = 2
Substituting x = 2 into y = x/2, we have
y = 2/2 = 1
The answer is (2, 1)