Problem to solve
Solve \[3y+5x+1-2y=2y-3\], \[3y-2+5x=2x-3y+2\]
Solution
STEP 1
Solve the following system:
{y + 5 x + 1 = 2 y - 3 | (equation 1)
3 y + 5 x - 2 = -3 y + 2 x + 2 | (equation 2)
STEP 2
Express the system in standard form:
{5 x - y = -4 | (equation 1)
3 x + 6 y = 4 | (equation 2)
STEP 3
Subtract 3/5 × (equation 1) from equation 2:
{5 x - y = -4 | (equation 1)
0 x+(33 y)/5 = 32/5 | (equation 2)
STEP 4
Multiply equation 2 by 5:
{5 x - y = -4 | (equation 1)
0 x+33 y = 32 | (equation 2)
STEP 5
Divide equation 2 by 33:
{5 x - y = -4 | (equation 1)
0 x+y = 32/33 | (equation 2)
STEP 6
Add equation 2 to equation 1:
{5 x+0 y = -100/33 | (equation 1)
0 x+y = 32/33 | (equation 2)
STEP 7
Divide equation 1 by 5:
{x+0 y = -20/33 | (equation 1)
0 x+y = 32/33 | (equation 2)
STEP 8
Collect results:
Answer: | 
 | {x = -20/33
y = 32/33