Is (x, y) a solution to the system of equations?

Verify system solutions by checking both equations.

Lesson 4

Concept

A point solves a system only if it satisfies every equation in that system simultaneously.

Check if (2, 3) solves y = x + 1 and 2x + y = 7.

A point that works in one equation but not the other is:

A system solution

Not a system solution

Always on both lines

Equivalent form

If two lines intersect at one point, the system has:

No solutions

One solution

Infinitely many

Undefined

These steps are out of order — can you fix them?

1.Evaluate truth values

2.Substitute into equation 2

3.Conclude yes/no

4.Substitute into equation 1

How is checking a system different from checking one equation?