Is X^2-Y^2=0 a quadratic equation ?
2 answers:
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Answer:
In a system, the substitution method is one of the 3 main ways to solve a system and can be very efficient at times.
<u>Skills needed: Systems, Algebra</u>
Step-by-step explanation:
1) Let's say we are given two equations below:
We can use substitution here by substituting in for in the second equation. This means we put in
for
in the 2nd equation so we only have
variables in the equation, allowing us to solve for
.
2) Solving it out:
We essentially substitute in that value as seen in step 1. Steps 2 and 3 are just simplifying the left side and allowing for us to solve. Step 4 is where we divide by -16 on both sides to solve for x. Step 5 and 6 show us solving for y using the value for x. We get
We know that the perimeter is the all the sides added up together. Generally, you have 
, where l is length and w is width.
For a square, all sides are of the same length, so you can write
, where x is any side.
If the smallest perimeter is 14, then
, so x is 3.5. If the largest perimeter is 72, then 
, so x is 18.
Therefore, you have 3.5 ≤ x ≤ 18.
For a square, all sides are of the same length, so you can write
If the smallest perimeter is 14, then
Therefore, you have 3.5 ≤ x ≤ 18.