Question

Solve the system using elimination

Answer 1

x = 5

y = 1/4

Explanation:

Let a = 1/x

b = 1/y

Then the equations are

(1) 10a - 4b = -14 and (2) 5a + 8b = 33 Multiply equation (2) by -2

-10a - 16b = -66

-20b = - 80

b = 4 5a + 8(4) = 33

5a + 32 = 33

5a = 1

a = 1/5

a = 1/x = 1/(1/5) x = 5

b = 1/y = 4 y = 1/4