Match the systems of equations to their solutions. Tiles 2x + y = 12 x = 9 − 2y x + 2y = 9 2x + 4y = 20 x + 3y = 16 2x − y = 11 y = 11 − 2x 4x − 3y = -13 y = 10 + x -3x + 3y = 30 2x + y = 11 x − 2y = -7 Pairs x = 2, y = 7 arrowBoth x = 5, y = 2 arrowBoth x = 3, y = 5 arrowBoth x = 7, y = 3 arrowBoth
Accepted Solution
A:
we have 1) systems of equations 1 2x + y = 12 x = 9 − 2y using a graph tool see the attached figure the solution is the point ------------> (5,2)
2) systems of equations 2 x + 2y = 9 2x + 4y = 20 using a graph tool see the attached figure the solution is the point -------> has no solution the two lines are parallel
3) systems of equations 3 x + 3y = 16 2x − y = 11 using a graph tool see the attached figure the solution is the point ------------> (7,3)
4) systems of equations 4 y = 11 − 2x 4x − 3y = -13 using a graph tool see the attached figure the solution is the point ------------> (2,7)
5) systems of equations 5 y = 10 + x -----------> multiplying by 3-----> 3y=30+3x------> -3x + 3y = 30 -3x + 3y = 30 equation 1 and equation 2 are equals--------> the system has no solution
6) systems of equations 6 2x + y = 11 x − 2y = -7 using a graph tool see the attached figure the solution is the point ------------> (3,5)