Problem to solve
Solve \[-2x+6y-4x=5x-3y+3\], \[7y+4x=9-2y\]
Solution
STEP 1
Solve the following system:
{6 y - 6 x = -3 y + 5 x + 3 | (equation 1)
7 y + 4 x = -2 y + 9 | (equation 2)
STEP 2
Express the system in standard form:
{-(11 x) + 9 y = 3 | (equation 1)
4 x + 9 y = 9 | (equation 2)
STEP 3
Add 4/11 × (equation 1) to equation 2:
{-(11 x) + 9 y = 3 | (equation 1)
0 x+(135 y)/11 = 111/11 | (equation 2)
STEP 4
Multiply equation 2 by 11/3:
{-(11 x) + 9 y = 3 | (equation 1)
0 x+45 y = 37 | (equation 2)
STEP 5
Divide equation 2 by 45:
{-(11 x) + 9 y = 3 | (equation 1)
0 x+y = 37/45 | (equation 2)
STEP 6
Subtract 9 × (equation 2) from equation 1:
{-(11 x)+0 y = -22/5 | (equation 1)
0 x+y = 37/45 | (equation 2)
STEP 7
Divide equation 1 by -11:
{x+0 y = 2/5 | (equation 1)
0 x+y = 37/45 | (equation 2)
STEP 8
Collect results:
Answer: | 
 | {x = 2/5
y = 37/45