Find all values of x satisfying the given conditions.
y₁ = 8x + 4(4 + x) , y₂ = 3(x - 6) + 10x, and y₁ = y₂

Question

Find all values of x satisfying the given conditions. y₁ = 8x + 4(4 + x), y₂ = 3(x - 6) + 10x, and y₁ = y₂ A) { 34 } B) {-10} C) { -34} D) {10}

Quizplus · Accepted Answer

y₁ = 8x + 4(4 + x) = 8x + 16 + 4x = 12x + 16y₂ = 3(x - 6) + 10x = 3x - 18 + 10x = 13x - 18Setting y₁ = y₂, we have 12x + 16 = 13x - 18. Subtracting 12x from both sides, we get 16 = x - 18. Adding 18 to both sides, we get x = 34.

Find All Values of X Satisfying the Given Conditions