Question

5х + 12y — 10 = 0 2x — 3y + 35 = 0

Answer 1

Answer:

(- 10, 5 )

Step-by-step explanation:

Given the 2 equations

5x + 12y - 10 = 0 ( add 10 to both sides )

5x + 12y = 10 → (1)

2x - 3y + 35 = 0 ( subtract 35 from both sides )

2x - 3y = - 35 → (2)

Multiplying (2) by 4 and adding to (1) will eliminate the y- term

8x - 12 y = - 140 (3)

Add (1) and (3) term by term

5x + 8x + 12y - 12y = 10 - 140, that is

13x = - 130 ( divide both sides by 13 )

x = - 10

Substitute x = - 10 into either (1) or (2) and solve for y

Substituting in (1)

5(- 10) + 12y = 10

- 50 + 12y = 10 ( add 50 to both sides )

12y = 60 ( divide both sides by 12 )

y = 5

Solution is (- 10, 5 )