Line a: 4x + 4y = 16
line b: x + y = 4

which statement is true about the solution to the set of equations?

it is (1, 2).
there are infinitely many solutions.
it is (1, 5).
there is no solution.

Step-by-step explanation:

Line A: 4x + 4y = 16      divide both sides by 4

              x + y = 4 ← It's an equation of line B.

Therefore the conclusion is:

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.

b is the right answer