Question

# Show that $$x=2, y=1$$ is a solution of the system of simultaneous linear equations.$$3x-2y=4$$$$2x+y=5$$.

Solution

## The given system of equations is$$3x-2y=4$$ .(i)$$2x+y=5$$ ..(ii)Putting $$x=2$$ and $$y=1$$ in equation (i), we haveLHS $$=3\times 2-2\times 1=4=$$RHSPutting $$x=2$$ and $$y=1$$ in equation (ii), we haveLHS$$=2\times 2+1\times 1=5=$$RHSThus, $$x=2$$ and $$y=1$$ satisfy both the equations of the given system.Hence, $$x=2$$, $$y=1$$ is a solution of the given system.Mathematics

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