Step by step
The question
Question: is (−2, 4) a solution of y = −x + 2 and x + 2y = 6.
① y = −x + 2 and ② x + 2y = 6
is (−2, 4) a solution?
1 Read x and y
The first number is always x.
The second is y.
So x = −2 and y = 4.
(−2, 4) → x = −2, y = 4
Careful!
Do not swap them.
The first number in (−2, 4) is x.
Careful: not x = 4, y = −2 ✗
2 Check ①
①: Put x = −2 and y = 4 in.
4 =? −(−2) + 2
Work out each side.
4 =? 2 + 2
Is 4 equal to 4?
Yes.
True!
4 = 4 true
3 Check ②
②: Put x = −2 and y = 4 in.
(−2) + 2(4) =? 6
Work out each side.
−2 + 8 =? 6
Is 6 equal to 6?
Yes.
True!
6 = 6 true
Both are true.
So (−2, 4) is a solution of the system.
(−2, 4) is a solution
Let's look back.
First: read x and y.
Then: check ①.
Last: check ②.
Answer
(−2, 4) is a solution