anonymous
  • anonymous
Identify the number of solutions for the system below. 2y = 4x + 2 y + 3 = 2x
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
There are two main approaches to resolve this issue: - See if the determinant is zero. This will tell you if there is a unique solution, or if there are zero or an infinite number of solutions. If it's not unique, it won't tell you if it's zero or an infinity. - Reason geometrically, as follows: For a system with two equations, two unknowns, remember you can think of each equation as a line in an x-y coordinate system. One solution means the lines cross. No solutions means they are parallel. An infinite number of solutions means they are the same line. And remember: - Two lines cross if they don't have the same slope. - Two lines are parallel if they have the same slope and a different y-intercept. - Two lines are identical if they have the same slope and the same y-intercept. Looking at the equations above, you see that they both have the same slope (2), but different y-intercepts (1, and -3). This means you have two parallel lines, and zero solutions.

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