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How many solutions exist for the system of equations graphed below?

a.) none
b.) one
c.) two
d.) infinitely many

How Many Solutions Exist For The System Of Equations Graphed Below A None B One C Two D Infinitely Many class=

Sagot :

SenorMathWizidn

Answer:

one

Step-by-step explanation:

When a system of equations is graphed, the solution is the coordinate that is plotted at the intersection of the two lines.

If the two lines cross once, there is only one solution.

If the two lines are on top of each other then there are infinitely many solutions.

If the two lines are parallel ( and never touch ) then there are no solutions

By looking at the graph we notice the two lines intersect once. So we can conclude that there is only one solution.

Sidharth999idn
Answer: b) one

Detailed Explanation:

For the graph of a system of linear equations :-

• If the lines are parallel, then the pair of equations has no solution
• If the lines are coincident, then the pair of equations has infinite solutions
• If the lines are intersecting, then the pair of equations have one solution.

In this graph, the lines formed by the equations are intersecting at a point. Hence it has a unique solution.
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