Use substitution when either and x or y is given, for instance: x = 2y + 3 or y = 8x - 9.
Use elimination when a number from both equations can cancel each other out, for example:
2x + 3y = 19
-2x + 7y = 12
Hope this helps!
Answer:
Given: Quadrilateral P QR S is a rectangle.
To prove :PR= Q S
Construction : Join PR and Q S.
Proof: In Rectangle PQRS, and
→ taking two triangles PSR and Δ QRS
1. PS = Q R
2. ∠ PS R = ∠ Q RS [Each being 90°]
3. S R is common.
→ ΔP SR ≅ Δ Q RS → [Side-Angle-Side Congruency]
∴ PR =Q S [ corresponding part of congruent triangles ]
Hence proved.
Given:
The quadratic equation is

To find:
The vertex of the given quadratic equation.
Solution:
If a quadratic function is
, then

We have,

It can be written as

...(i)
Here,
.



Putting
in (i), we get
On further simplification, we get
So, the vertex of the given quadratic equation is
.
Therefore, the correct option is A.