Solve for x and y:
3x + 4y = 9
2x + 3y =8
A) x = 7.5, y = - 4. 5
B) x = 7.0, y = - 4. 5
C) x = 4.5, y = - 7. 5
D) x = 7.5, y = - 4. 1
Solve the following system:
{3 x+4 y = 9 | (equation 1)
2 x+3 y = 8 | (equation 2)
Subtract 2/3 × (equation 1) from equation 2:
{3 x+4 y = 9 | (equation 1)
0 x+y/3 = 2 | (equation 2)
Multiply equation 2 by 3:
{3 x+4 y = 9 | (equation 1)
0 x+y = 6 | (equation 2)
Subtract 4 × (equation 2) from equation 1:
{3 x+0 y = -15 | (equation 1)
0 x+y = 6 | (equation 2)
Divide equation 1 by 3:
{x+0 y = -5 | (equation 1)
0 x+y = 6 | (equation 2)
Collect results:
Answer: | x = -5 and y=6
P. S. None of the answers you have is true, because these calculated values balance the 2 equations!!.
