Question

(3x - 2y, 7) = (11, x + y) find the value of x and y​

Answer 1

y=2 ,x=5

Explanation:

(x-coordinate, y-coordinate)

Therefore,

3x-2y=11 ⇒ 1st equation

x+y=7 ⇒ x=7-y ⇒2nd equation

Sub 2nd equation into 1st equation,

3(7-y) - 2y=11

21-3y-2y=11

-5y=11-21

y=2

Sub back to 2nd equation,

x=7-2=5

Answer 2

x = 5 , y = 2

Explanation:

Equate corresponding coordinates in both ordered pairs

3x - 2y = 11 → (1)

x + y = 7 → (2)

Multiplying (2) by 2 and adding to (1) will eliminate y

2x + 2y = 14 → (3)

Add (1) and (3) term by term to eliminate y

5x + 0 = 25

5x = 25 ( divide both sides by 5 )

x = 5

Substitute x = 5 into either of the 2 equations and solve for y

Substituting into (2)

5 + y = 7 ( subtract 5 from both sides )

y = 2