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

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

Step by step

The question

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

y = 2x + 1
is (2, 5) a solution?

1 Read x and y

The first number is always x.

The second is y.

So x = 2 and y = 5.

(2, 5) → x = 2, y = 5

Careful!

Do not swap them.

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

Careful: not x = 5, y = 2 ✗

2 Put them in

Put x = 2 and y = 5 in.

5 =? 2(2) + 1

Work out each side.

5 =? 4 + 1

Is 5 equal to 5?

Yes.

True!

5 = 5 true

It is true.

So (2, 5) is a solution.

(2, 5) is a solution

Let's look back.

First: read x and y.

Last: put them in.

Answer
(2, 5) is a solution

Your turn

Try this one yourself, then check:

is (1, 1) a solution of y = 3x − 2
Show the answer
(1, 1) is a solution

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