5.1-5.3 Check for Understanding

What graph represents a system that has a solution of (3,-1)?

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Answer explanation

Remember that the solution is the point where the two lines intersect.

Which Graph represents the solution to the following system:

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Answer explanation

The process here would be to substitute (-5x+11) into the equation in standard form. Solve for x, then use the value of x to find y by plugging it into the first equation.

Answer explanation

The x's share an opposite but equal coefficient so you can use elimination to get rid of the x and solve for y. Once you've solved for y you are able to use substitution to find x.

If two lines in the system intersect at a single point, how many solutions does the system have?

Answer explanation

parallel lines- no solution

same line- infinitely many solutions

Intersecting lines- one solution

If a system consists of two parallel lines, what is the solution to the system?

A system of equations graphs as exactly the same line, What is the solution to the system?