Question

X = y +10x = 2y + 3(17,7)is it consistent and independent

Answer 1

Simplify the equation to obtain the y coordinate.

`\begin{gathered} y+10=2y+3 \\ 2y-y=10-3 \\ y=7 \end{gathered}`

Substitute 7 for y in the equaation x = y +10 to obtain the value of x.

`\begin{gathered} x=7+10 \\ =17 \end{gathered}`

So solution of equations is (17,7).

The equations consist of the solution, so equation is consistent and equation has only one solution those equation is independent.

Thus it is consistent and independent.