Question

1 Is x=2 y = 2 a solution of the given system of equations? 3x - 4y = 4 X-6y = 2 Is the first equation satisfied? 0 Yes Ο Νο Is the second equation satisfied? Yes Ο Νο 1 As a result, is x=2 y=5 a solution of the given system of equations?

Answer 1

The given set of equations are

$3x-4y=4 \Rightarrow Equation \ 1$

$(1/2)*x-6y=2 \Rightarrow Equation \ 2$

We have to check whether $x=2,y=1/2$ is a solution to the set of equation.

Consider Equation 1

We shall first evaluate the left hand side at $x=2,y=1/2$

$3*(2)-4*(1/2)=6-2=4$

Right hand side :

Hence, the equation is satisfied

Consider Equation 2

$(1/2)x-6y=2$

Substituting

$x=2,y=(1/2)$, we get

$(1/2)*2-6(1/2)=1-3=-2$

Right Hand Side :

Left hand side and right hand side are not equal. Hence the second equation is not satisfied

Since the second equation is not satisfied at $x=2,y=(1/2)$ , these are not a solution to the given set of equations