Question

When checking if (9,4) was a solution to 3y - 2x = 19, Lev said that it was. Why is he incorrect

Answer 1

Lev is incorrect because (9, 4) is not a solution to the equation.

Explanation:

We are given the equation: 3y - 2x = 19

When we are to check if an ordered pair is a solution to an equation, we substitute the pair in the equation and compare the RHS and LHS.

If they come to be equal then we can say that the given pair is indeed a solution to the equation.

So, here, RHS = 19

LHS = 3(4) - 2(9) = 12 - 18

= -6

`$ \\e $` 19

i.e., LHS ≠ RHS

So, we can say that (x, y) = (9, 4) is not a solution to the given equation.