Solve 5x + 3x - 6 = 42

The answer to your question is x = 6

Step-by-step explanation:

Equation                   5x + 3x - 6 = 42

Process

Step 1. Add 6 units in both sides

                                 5x + 3x - 6 + 6 = 42 + 6

Step 2. Simplify

                                  5x + 3x = 48

Step 3. Simplify like terms

                                         8x = 48

Step 4. Divide by 8 both sides

                                        8x/8 = 48/8

Step 5. Simplify

                                          x = 6

answer:   the paragraph proof is mentioned below.

step-by-step explanation:

given: in a δxwy where

such that, ∠wzx ≅ ∠yzx and zw≅zy

we have to prove that: segment zx is a perpendicular bisector of segment wy.

prove: since, zw≅zy ⇒ ∠wzy is a supplementary angle.

then, ∠wzy= 180°

⇒∠wzx + ∠yzx = 180° ( because xz divides ∠wzy into two parts)

but, ∠wzx ≅ ∠yzx ( given)

⇒∠wzy+∠wzy=180° ( by substitution)

⇒2∠wzy=180°

⇒∠wzy=90°

⇒∠wzy=∠yzx =90°

therefore, xz⊥wy where wz=zy

⇒zx is a perpendicular bisector of wy.