PLEASE HELP ME

Multiply each equation by a constant that would help to eliminate the y terms.

2 x - 5 y = -21. 3 x - 3 y = -18.

What are the resulting equations?

A) 6 x - 15 y = -63. -15 x + 15 y = 90.

B) 6 x -15 y = 63. -15 x + 15 y = 90.

C) 6 x - 15 y = -63. -15 x + 15 y = -90.

D) 6 x - 15 y = -63. -15 x + 15 y = 90.

Since the coefficient of y in the left equation is 5 and the coefficient in the right equation is 3, we can simply multiply 3*5 to get 15 and this is what both coefficient would have to be. This means multiplying the first equation by 3 to get 6x-15y=-63 and multiplying the second equation by 5 to get 15x-15y=-90. Notice how we're not done. We need to negate the second equation that way the y-terms will be eliminated. So the second equation must be -15x+15y=90. So the correct choice is A.

Hope this helped. Feel free to message me with any more questions.

8+10

step-by-step explanation:

you multiply 4 by 2 and 5 by 2

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.