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