Solve the following pair of simultaneous equations.
2x + 3y = 6
3x - 2y = 22

(6, - 2 )

Step-by-step explanation:

Given the 2 equations

2x + 3y = 6 → (1)

3x - 2y = 22 → (2)

Eliminate the y- term by multiplying (1) by 2 and (2) by 3

4x + 6y = 12 → (3)

9x - 6y = 66 → (4)

Add (3) and (4) term by term

13x = 78 ( divide both sides by 13 )

x = 6

Substitute x = 6 into either of the 2 equations and solve for y

Using (1), then

(2 × 6) + 3y = 6

12 + 3y = 6 ( subtract 12 from both sides )

3y = - 6 ( divide both sides by 3 )

y = - 2

Solution is (6, - 2 )

true statements:

a) x + y = y + x   ⇒ commutative property of addition

b) (x * y) * z = x * (y * z) ⇒ associative property of multiplication

d) (x + y) + z = x + (y + z) ⇒ associative property of addition

false statements:

c) x - y = y - x   should be: x - y = - y + x

e) (x - y) - z = x - (y - z) should be: (x - y) - z = x - (y + z)

step-by-step explanation:

answer:   c ?

step-by-step explanation: