Problem to solve
Solve \[ 4x-5y=3\], \[-2x+6y=-2\]
Solution
STEP 1
Solve the following system:
{-5 y + 4 x = 3 | (equation 1)
6 y - 2 x = -2 | (equation 2)
STEP 2
Add 1/2 × (equation 1) to equation 2:
{4 x - 5 y = 3 | (equation 1)
0 x+(7 y)/2 = -1/2 | (equation 2)
STEP 3
Multiply equation 2 by 2:
{4 x - 5 y = 3 | (equation 1)
0 x+7 y = -1 | (equation 2)
STEP 4
Divide equation 2 by 7:
{4 x - 5 y = 3 | (equation 1)
0 x+y = -1/7 | (equation 2)
STEP 5
Add 5 × (equation 2) to equation 1:
{4 x+0 y = 16/7 | (equation 1)
0 x+y = -1/7 | (equation 2)
STEP 6
Divide equation 1 by 4:
{x+0 y = 4/7 | (equation 1)
0 x+y = -1/7 | (equation 2)
STEP 7
Collect results:
Answer: | 
 | {x = 4/7
y = -1/7