Answer:
x = 5
Step-by-step explanation:
Given: f(x) = -3x + 19
1. Substitute f(x) = 4 into f(x) = -3x + 19:
⟹ 4 = -3x + 19
2. Add 3x to both sides:
4 + 3x = -3x + 3x + 19
⟹ 3x + 4 = 19
3. Subtract 4 from both sides:
3x + 4 - 4 = 19 - 4
⟹ 3x = 15
4. Divide both sides by 3:
3x ÷ 3 = 15 ÷ 3
⟹ x = 5
5. Check your work:
4 = -3x + 19
4 = -3(5) + 19
4 = -15 + 19
⟹ 4 = 4 ✔
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