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Is (5, 2) a solution of x - 3y = 1

Step by step, with the reason for every step · Checking a solution · Algebra 1

Step by step

The question

Question: is (5, 2) a solution of x − 3y = 1.

x − 3y = 1
is (5, 2) a solution?

1 Read x and y

The first number is always x.

The second is y.

So x = 5 and y = 2.

(5, 2) → x = 5, y = 2

Careful!

Do not swap them.

The first number in (5, 2) is x.

Careful: not x = 2, y = 5 ✗

2 Put them in

Put x = 5 and y = 2 in.

5 − 3(2) =? 1

Work out each side.

5 − 6 =? 1

Is −1 equal to 1?

No.

That is false.

−1 ≠ 1 false ✗

It is false.

So (5, 2) is not a solution.

(5, 2) is not a solution

Let's look back.

First: read x and y.

Last: put them in.

Answer
(5, 2) is not a solution

Your turn

Try this one yourself, then check:

is (4, 3) a solution of x − 5y = −9
Show the answer
(4, 3) is not a solution

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