SOLUTION: How do we graph the system 2x + 2y = 4 AND 12 - 3x = 3y? Need to determine if there is 1 solution, Infinite solutions, or No solution. Thanks!

Question 827059: How do we graph the system 2x + 2y = 4 AND 12 - 3x = 3y? Need to determine if there is 1 solution, Infinite solutions, or No solution. Thanks!
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
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2x + 2y = 4
12 - 3x = 3y
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put the system of linear equations into standard form:
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2x + 2y = 4
3x + 3y = 12
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copy and paste the above linear system in standard form into this matrix-method solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
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solution:
This linear system is singular. It has no solution
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system matrix
2 2
3 3
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determinant of system matrix = 0
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The linear system has no solution because the lines are parallel, as you can see in the graph below:
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graph:
2x + 2y = 4
3x + 3y = 12
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2y = -2x + 4
3y = -3x + 12
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y = -x + 2
y = -x + 4
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Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
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Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
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Solve systems of linear equations up to 6-equations 6-variables:
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