Question

3x-2y=-2 x+3y=14 what is the ordered pair is the solution to the system

Answer 1

Answer:

(2,4)

Step-by-step explanation:

$x=-3y+14\\3(-3y+14)-2y=-2\\y=4\\3x-2(4)=-2\\x=2$

Answer 2

Answer:

(2, 4 )

Step-by-step explanation:

Given the 2 equations

3x - 2y = - 2 → (1)

x + 3y = 14 → (2)

Rearrange (2) expressing x in terms of y by subtracting 3y from both sides

x = 14 - 3y → (3)

Substitute x = 14 - 3y into (1)

3(14 - 3y) - 2y = - 2 ← distribute and simplify left side

42 - 9y - 2y = - 2

42 - 11y = - 2 ( subtract 42 from both sides )

- 11y = - 44 ( divide both sides by - 11 )

y = 4

Substitute y = 4 into (3) for corresponding value of x

x = 14 - 3(4) = 14 - 12 = 2

Solution is (2, 4 )