Question

Does this system of equations have one solution, no solutions, or an infinite number of solutions?2x + 3y = 64x + 6y = 12

Answer 1

One solution

Explanation:

There is 3 possible solutions to a system of linear equations:

• One solution - two distinct lines that do not share y-intercept or slop intersect 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 represented two ways which in simplest form share the same slope and y-intercept

These equations do not have the same slope or y-intercept. When graphed they intersect at one point.