Equations - simple

Solve the system of linear equations:

x-2y=6
3x+2y=4

Correct answer:

x =  2.5
y =  -1.75

Step-by-step explanation:


x-2y=6
3x+2y=4

x-2·y=6
3·x+2·y=4

x-2y = 6
3x+2y = 4

Pivot: Row 1 ↔ Row 2
3x+2y = 4
x-2y = 6

Row 2 - 1/3 · Row 1 → Row 2
3x+2y = 4
-2.67y = 4.67


y = 4.66666667/-2.66666667 = -1.75
x = 4-2y/3 = 4-2 · (-1.75)/3 = 2.5

x = 5/2 = 2.5
y = -7/4 = -1.75

Our linear equations calculator calculates it.



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