Question

Slove the following system of equation using elimination method 3x-5y=4 9x-2y=7

Answer 1

Answer:

x = 729/13 and y = -5/13

Explanation:

3x - 5y = 4 - (1)

9x - 2y = 7 - (2)

Multiply first equation by 3

Therefore

9x - 15y = 12

9x - 2y = 7

- + -

__________

- 13y = 5

y = - 5/13

Put y = -5/13 in second equation

Therefore

9x - 2(-5/13) = 7

= 9x +10/13 = 7

= 9x = 7 - 10/13

= 9x = 91 - 10/13

= 9x = 81/13

= x = 81 * 9/13

= x = 729/13