Problem to solve
Solve \[-\frac{2}{3}x+5y=4\], \[7x-5y=4\]
Solution
STEP 1
Solve the following system:
{5 y - (2 x)/3 = 4 | (equation 1)
-5 y + 7 x = 4 | (equation 2)
STEP 2
Swap equation 1 with equation 2:
{7 x - 5 y = 4 | (equation 1)
-(2 x)/3 + 5 y = 4 | (equation 2)
STEP 3
Add 2/21 × (equation 1) to equation 2:
{7 x - 5 y = 4 | (equation 1)
0 x+(95 y)/21 = 92/21 | (equation 2)
STEP 4
Multiply equation 2 by 21:
{7 x - 5 y = 4 | (equation 1)
0 x+95 y = 92 | (equation 2)
STEP 5
Divide equation 2 by 95:
{7 x - 5 y = 4 | (equation 1)
0 x+y = 92/95 | (equation 2)
STEP 6
Add 5 × (equation 2) to equation 1:
{7 x+0 y = 168/19 | (equation 1)
0 x+y = 92/95 | (equation 2)
STEP 7
Divide equation 1 by 7:
{x+0 y = 24/19 | (equation 1)
0 x+y = 92/95 | (equation 2)
STEP 8
Collect results:
Answer: | 
 | {x = 24/19
y = 92/95