17. Solve the following:

x - 3y = 5

5x - 2y = - 1

( - 1, - 2)

Step-by-step explanation:

Given the 2 equations

x - 3y = 5 → (1)

5x - 2y = - 1 → (2)

Rearrange (1) expressing x in terms of y by adding 3y to both sides

x = 5 + 3y → (3)

Substitute x = 5 + 3y in (2)

5 (5 + 3y) - 2y = - 1 ← distribute left side

25 + 15y - 2y = - 1

25 + 13y = - 1 (subtract 25 from both sides)

13y = - 26 (divide both sides by 13)

y = - 2

Substitute y = - 2 in (3) for corresponding value of x

x = 5 + (3 * - 2) = 5 - 6 = - 1

Solution is ( - 1, - 2)