Math Dictionary / System of Equations
System of Equations
A system of equations is a set of equations solved together.
AlgebraGrade 8Algebra 1GEDSATACT
What it means
For two linear equations, the solution is the point that makes both equations true.
Also called: simultaneous equations
Examples
| y = x + 1 and y = 2x – 3 |
| The solution is where the two lines intersect |
| (4, 5) can be a solution if both equations are true |
Common mistake
A point must satisfy every equation in the system, not just one.
Try one
Question: If y = x + 2 and y = 6 when x = 4, does (4, 6) fit the first equation?
Show answer
Yes. 4 + 2 = 6.