Express the equation $3 y = 11 - 2 x$ in the standard form and find two solutions of it. Is $(1, 3)$ its solution?

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Solution

standard form of linear equation in two variables is $A x + B y = c$
so $2 x + 3 y = 11$
put $(1, 3)$ in equation
$2 (1) + 3 (3) = 11$
$11 = 11$
$(1, 3)$ is a solution

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