Elimination method

Solve the system of linear equations by elimination method:

5/2x + 3/5y= 4/15
1/2x + 2/5y= 2/15

Correct answer:

x =  0.0381
y =  0.2857

Step-by-step explanation:


5/2·x + 3/5·y= 4/15
1/2·x + 2/5·y= 2/15

75x+18y = 8
15x+12y = 4

Row 2 - 15/75 · Row 1 → Row 2
75x+18y = 8
8.4y = 2.4


y = 2.4/8.4 = 0.28571429
x = 8-18y/75 = 8-18 · 0.28571429/75 = 0.03809524

x = 4/105 ≈ 0.038095
y = 2/7 ≈ 0.285714

Our linear equations calculator calculates it.



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