Identify any solutions to the system given below. 2х + y = 5
Зу = 15 – 6х
(6, -7)
(2, 1)
(-2, -9)
(-4, 13)
ООО

• (6, -7)
• (-4, 13)

Explanation:

• Option One

2x + y = 5
2(6) + (-7) = 5
12 - 7 = 5
5 = 5 {true}

3y = 15 - 6x
3(-7) = 15 - 6(6)
-21 = 15 - 36
-21 = -21 {true}

• Option Two

2x + y = 5
2(2) + 1 = 5
4 + 1 = 5
5 = 5 {true}

3y = 15 - 6x
3(1) = 15 - 6(2)
3 = 15 - 12
3 = 13 {not true}

• Option Three

2x + y = 5
2(-2) + (-9) = 5
-4 - 9 = 5
-13 = 5 {not true}

3y = 15 - 6x
3(-9) = 15 - 6(-2)
-27 = 15 + 12
-27 = 27 {not true}

• Option Four

2x + y = 5
2(-4) + 13 = 5
-8 + 13 = 5
5 = 5 {true}

3y = 15 - 6x
3(13) = 15 - 6(-4)
39 = 15 + 24
39 = 39 {true}

(6, -7)

(2, 1)

(-4, 13)

Step-by-step explanation:

2х + y = 5  ⇒ y= 5-2x

Зу = 15 – 6х ⇒ y= 5-2x

Both equations are same so any point satisfying one of them is the solution.

(6, -7)

-7= 5-12 - yes

(2, 1)

1= 5- 4 - yes

(-2, -9)

-9= 5 + 4 - no

(-4, 13)

13= 5+8- yes

So 3 of given points satisfy the equation

38+105= 143, 39+104=143, and you will find then adding the numbers on opposite sides, moving inwards yields the answer 138 every time. because of this, you’re going to multiply 138 times the number of pairs, which is 34. therefore, 34*138= 4692(i’m sorry if it’s the wrong numbers, but it’s the right concept)