Question

Solve the equations for $x$ and $y$.

$2x-3y=7$

$5x+y=9$

• A. 2, -1
• B. 3,4
• C. 2,2
• D. 3, -1

Answer 1

The correct option is A

2, -1

Given

$2x-3y=7$...(i)

$5x+y=9$...(ii)

Rearranging (ii), we get $y=9-5x$...(iii)

Substituting (iii) in (i), we get

$2x-3(9-5x)=7$

$\Rightarrow$$17x=34$

$\Rightarrow x=2$.

Substituting the value of $x$ in (i), we get

$2\left(2\right)-3y=7$

$\Rightarrow y=-1$.