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

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

Step by step

The question

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

x + 3y = 2
is (−4, 2) a solution?

1 Read x and y

The first number is always x.

The second is y.

So x = −4 and y = 2.

(−4, 2) → x = −4, y = 2

Careful!

Do not swap them.

The first number in (−4, 2) is x.

Careful: not x = 2, y = −4 ✗

2 Put them in

Put x = −4 and y = 2 in.

(−4) + 3(2) =? 2

Work out each side.

−4 + 6 =? 2

Is 2 equal to 2?

Yes.

True!

2 = 2 true

It is true.

So (−4, 2) is a solution.

(−4, 2) is a solution

Let's look back.

First: read x and y.

Last: put them in.

Answer
(−4, 2) is a solution

Your turn

Try this one yourself, then check:

is (−2, 2) a solution of x + 5y = 8
Show the answer
(−2, 2) is a solution

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