Question

Solve using the elimination method: 7x/2 + 9y/2=1
and x+7y/6=1

Answer 1

Multiply The first equation by 2; Multiply the second equation by 6.

7x + 9y = 2
6x + 7y = 6

Solve both equations for y:

y = (2-7x)/9
y = (6-6x)/7

Set y = y (by elimination method):
(2-7x)/9 = (6-6x)/7

Cross Multiply:

9(6-6x) = 7(2-7x)

Distribute:

54 - 54x = 14 - 49x

Continue Solving for x:

6x = 40

x = 40/6 or 20/3

Substitute x back in to the original equation to find y