Step by step
The question
Question: is (3, 2) a solution of 3x − y = 7 and x − 2y = 4.
① 3x − y = 7 and ② x − 2y = 4
is (3, 2) a solution?
1 Read x and y
The first number is always x.
The second is y.
So x = 3 and y = 2.
(3, 2) → x = 3, y = 2
Careful!
Do not swap them.
The first number in (3, 2) is x.
Careful: not x = 2, y = 3 ✗
2 Check ①
①: Put x = 3 and y = 2 in.
3(3) − 2 =? 7
Work out each side.
9 − 2 =? 7
Is 7 equal to 7?
Yes.
True!
7 = 7 true
3 Check ②
②: Put x = 3 and y = 2 in.
3 − 2(2) =? 4
Work out each side.
3 − 4 =? 4
Is −1 equal to 4?
No.
That is false.
−1 ≠ 4 false ✗
② is false.
A solution must make both true.
So (3, 2) is not a solution of the system.
(3, 2) is not a solution
Let's look back.
First: read x and y.
Then: check ①.
Last: check ②.
Answer
(3, 2) is not a solution