Math- Systems of Equations

Question 1

What is a system of equations?

Answer 1

A system of equations refers to two or more equations that deal with the same set of variables.

Question 2

Substitution

Answer 2

Isolate one variable, then substitute it back into the other equation and solve for the second variable.

Question 3

Elimination

Answer 3

Get the same coefficients for one variable across the two equations so that you can add or subtract the equations, thereby eliminating that variable

Question 4

When is it no solutions

Answer 4

It is no solutions when it is the same equation but is set to a different constant.
Ex. 3x + 2y = 5 and 3x + 2y = 9

Question 5

When is it infinite solutions

Answer 5

It has infinite solutions when both equations are essentially the same.

Question 6

What is the graphed solution to a system of equations

Answer 6

The graphed solution is the points of intersection between the lines.

Question 7

What does no solutions look like on a graph

Answer 7

It has two parallel lines that don’t intersect

Question 8

What does infinite solutions look like on a graph

Answer 8

It is a single line.