Linear system

Solve a set of two equations of two unknowns:

1.5x+1.2y=0.6
0.8x-0.2y=2

Correct answer:

x =  2
y =  -2

Step-by-step explanation:


1.5x+1.2y=0.6
0.8x-0.2y=2

1.5·x+1.2·y=0.6
0.8·x-0.2·y=2

1.5x+1.2y = 0.6
0.8x-0.2y = 2

Row 2 - 0.8/1.5 · Row 1 → Row 2
1.5x+1.2y = 0.6
-0.84y = 1.68


y = 1.68/-0.84 = -2
x = 0.6-1.2y/1.5 = 0.6-1.2 · (-2)/1.5 = 2

x = 2
y = -2

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