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

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

Step by step

The question

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

y = −x + 2
is (3, −1) a solution?

1 Read x and y

The first number is always x.

The second is y.

So x = 3 and y = −1.

(3, −1) → x = 3, y = −1

Careful!

Do not swap them.

The first number in (3, −1) is x.

Careful: not x = −1, y = 3 ✗

2 Put them in

Put x = 3 and y = −1 in.

(−1) =? −3 + 2

Work out each side.

Is −1 equal to −1?

Yes.

True!

−1 = −1 true

It is true.

So (3, −1) is a solution.

(3, −1) is a solution

Let's look back.

First: read x and y.

Last: put them in.

Answer
(3, −1) is a solution

Your turn

Try this one yourself, then check:

is (4, −1) a solution of y = −x + 3
Show the answer
(4, −1) is a solution

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