Is (4, 1) a solution of 2x - y = 7

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

Step by step

Question: is (4, 1) a solution of 2x − y = 7.

2x − y = 7

is (4, 1) a solution?

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 ✗

Put x = 4 and y = 1 in.

2(4) − 1 =? 7

Work out each side.

8 − 1 =? 7

Is 7 equal to 7?

Yes.

True!

7 = 7 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

Try this one yourself, then check:

is (1, 2) a solution of 5x − y = 3

Show the answer

(1, 2) is a solution