Question

What is the value of x for the following system of equations?
$\sqrt{2}x-\sqrt{3}y=\sqrt{5}$
$2x+3y=5$

• A. 1.59
• B. 1.69
• C. 1.79
• D. 1.89
• E. 1.99

Answer 1

The correct option is E 1.99

• Given equations are $\sqrt{2}x-\sqrt{3}y=\sqrt{5}$ and $2x+3y=5$
• Multiply equation $1$ with $\sqrt{3}$ , we get $\sqrt{6}x-3y=\sqrt{15}$ , Add it with $2$nd equation
• Therefore we get $(\sqrt{6}+2)x=\sqrt{15}+5$ , which gives $\frac{\sqrt{15}+5}{\sqrt{6}+2}=1.99$