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The solutions to systems of equations

A system of equations is a collection of two or more equations with a same set of unknowns. Try to find values that will satisfy every equation in the system.
a data set by patnett.1
created November 14, 2016
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FAMILY TREE
Systems of EquationsSolutionsCategory
{y = 0.5x + 2 {y= 1/2x -2No Solution No Solution
{3x-y =-8 {3x - y =-4No SolutionNo Solution
{y=3x-5 {3x - y=-5No solution No Solution
{y = x + 5 {y= 2x +7(-2, 3)One solution
{4x+2y =2 {3x - 2y = 12(2, -3 ) One solution
{y= 3x - 7 {x + y = 5 (3, 2 ) One solution
{y= -5x + 9 {2y = -10x + 18Infinitely many solutionsInfinitely many solutions
{12x + 6y = 12 {6x + 3y = 6Infinitely many solutionsInfinitely many solutions
{4y = -8x + 12 {2x + y =3 Infinitely many solutionsInfinitely many solutions
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