Steply

Is (4, -1) a solution of y = 1/2x - 3

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

Step by step

The question

Question: is (4, −1) a solution of y = (1/2)x − 3.

y = 12x − 3
is (4, −1) a solution?

1 Read x and y

The first number is always x.

The second is y.

So x = 4 and y = −1.

(4, −1) → x = 4, y = −1

Careful!

Do not swap them.

The first number in (4, −1) is x.

Careful: not x = −1, y = 4 ✗

2 Put them in

Put x = 4 and y = −1 in.

(−1) =? 12(4) − 3

Work out each side.

−1 =? 2 − 3

Is −1 equal to −1?

Yes.

True!

−1 = −1 true

It is true.

So (4, −1) is a solution.

(4, −1) is a solution

Let's look back.

First: read x and y.

Last: put them in.

Answer
(4, −1) is a solution

Your turn

Try this one yourself, then check:

is (2, −2) a solution of y = 32x − 5
Show the answer
(2, −2) is a solution

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