A system of equations is two or more equations considered together, and its solution is the set of values satisfying all of them at once. Graphically, that solution is where the lines intersect.
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.