Equations: 35991

Solve the following system of equations:

x + 4y = 5
2x - 3y = -6

Correct answer:

x =  -0.8182
y =  1.4545

Step-by-step explanation:


x + 4y = 5
2x - 3y = -6

x + 4·y = 5
2·x - 3·y = -6

x+4y = 5
2x-3y = -6

Pivot: Row 1 ↔ Row 2
2x-3y = -6
x+4y = 5

Row 2 - 1/2 · Row 1 → Row 2
2x-3y = -6
5.5y = 8


y = 8/5.5 = 1.45454545
x = -6+3y/2 = -6+3 · 1.45454545/2 = -0.81818182

x = -9/11 ≈ -0.818182
y = 16/11 ≈ 1.454545

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