A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
y = 2x + 3, 2y = 4x + 6 the system of equations has _____ solution(s).
Solution:
There are 3 possible solutions to a system of linear equations.
- One solution - two distinct lines that do not share y-intercept or slope intercept at a point
- No solution - two distinct lines that share the same slope but not the same y-intercept never intersect and are parallel.
- Infinite solution - one distinct function represents two ways which in simplest form share the same slope and y-intercept.
Given, the equations are
y = 2x + 3
2y = 4x + 6
On simplification,
2y = 4x + 6 becomes y = 2x + 3
This implies both the equations are the same.
In other words, both equations share the same slope and y-intercept.
Therefore, the equations have infinite solutions.
y = 2x + 3, 2y = 4x + 6 the system of equations has _____ solution(s).
Summary:
y = 2x + 3, 2y = 4x + 6 the system of equations has infinite solution(s).
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