Considering High School level question, answer can be written as:
A system of 2 linear equations is [two] dimensional. It is a graph of [two] lines. The solutions can be [unique] solution if the graph intersects. [No] solution if the lines are parallel - meaning they have the same slope, or [Infinitely many] solutions if they are the same line.
Explanation:
when two lines are drawn on a two-dimensional plane then there are only three possible cases:
Case1: lines will intersect
In that case you will get a unique solution at the intersection point.
Case2: lines are parallel but don't touch each other
In that case there will be no point which lies on both lines so No solution.
Case3: lines are overlapping.
In that case all the points lies on both lines so infinitely many solutions.
Answer:2. Both the populations of the Candy Kingdom and the Fire Kingdom are in decline; their populations
since 2010 are given by the functions below:
Cit) 1000 - 500
F(t) = 2500 - 1000
Will their populations ever be equal? If so, when will that happen and what will that population be?
Otherwise, briefly explain why their populations will never be equal.
Step-by-step explanation:
Apples = $.30
Peaches = $.60
You can get this by setting up a system of equations that looks like this.
2x + 3y = 1.65
3x + 2y = 1.60
Where x is the amount of apples and y is the number of peaches. Then you can solve using any of the methods (I would suggest elimination for ease).
Answer:
3
Explanation:
Apply Multiplicative Distribution Law:
{x + y =9
{8x + 24y = 120
Reduce the greatest common factor on both sides of the equation.
{x + y = 9
{x + 3y = 15
Subtract the two equations: x + y - (x +3y) = 9 - 15
Remove paranthesis: x + y - x - 3y = 9 - 15
Cancel the unknown variables: y - 3y = 9 - 15
Combine like terms: -2y=9 - 15
Calculate the sum or difference: -2y = -6
Reduce the greatest common factor on both sides of the equation: y =3
Substitute one unknown quantity into the elimination: x + 3 = 9
Rearrange unknown terms to the left side of the equation: x = 9 - 3
Calculate the sum or difference: x = 6
Write the solution set of equations: {x = 6
{y = 3
Substitute: 6 - 3
Calculate the sum or difference: 3
Answer: 3
9/10 : 1/10 = 45,000,000 : x
x = 45000000/9 = 5,000,000
Answer: 5 million acres
