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Is (2, 1) a solution of 3x + y = 7

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

Step by step

The question

Question: is (2, 1) a solution of 3x + y = 7.

3x + y = 7
is (2, 1) a solution?

1 Read x and y

The first number is always x.

The second is y.

So x = 2 and y = 1.

(2, 1) → x = 2, y = 1

Careful!

Do not swap them.

The first number in (2, 1) is x.

Careful: not x = 1, y = 2 ✗

2 Put them in

Put x = 2 and y = 1 in.

3(2) + 1 =? 7

Work out each side.

6 + 1 =? 7

Is 7 equal to 7?

Yes.

True!

7 = 7 true

It is true.

So (2, 1) is a solution.

(2, 1) is a solution

Let's look back.

First: read x and y.

Last: put them in.

Answer
(2, 1) is a solution

Your turn

Try this one yourself, then check:

is (4, 3) a solution of 2x + y = 11
Show the answer
(4, 3) is a solution

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