How do you substitute to determine if the ordered pair (3, 2) is a solution of the system of equations 4x-y=10 and 3y=x+1?

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Answer 1 · 2017-07-10T01:19:45

$(3,2)$ is not a solution.

Given -

$4x-y=10$ -----------------(1)
$3y=x+1$ -------------------(2)

We have to examine whether $(3,2)$ is a solution to the system of equations.

For this, you have to substitute $(3,2)$ in the two given equations.
If they are satisfied, $(3,2)$ is a solution, otherwise, it is not.

Take 1st equation

$4(3)-2=10$
$12-2=10$
$10=10$ -------------- Satisfied

Take the second equation

$3(2)=3+1$
$6!=4$ ---------------- Not satisfied

$(3,2)$ is not a solution.