posted by Mia on .
Can you please help solve this equation using the substitution method? I have tried and keep getting that X and Y = 7/2, but the answer in the book states no solution, inconsistent system. What am I doing wrong? Please help! Solve the systems of equations by the substitution method.
Here is why there is no solution ...
multiply the first equation by -1
x - y = -4
subtract the second equation ...
0 = -7 >>>> CONTRADICTION! So, no solution.
first equation: y = x+4
sub into second
x-y = 3
x - (x+4) = 3
0 = 7, same result.
Your answer of x = y = 7/2 does not work in either equation.
Solve the following system of equations by the substitution method.
8x = 2y + 5
3x = y + 7
MAKING X THE SUBJECT IN EQN 2
SUBSTITUTING IN EQN 1
THE Y GETS ELIMINATED,HENCE THERE IS NO SOLUTION