SOLUTION: algebracially solve the system of equations. show your work. ax-by=b+a bx+ay=b+a

Question 422028: algebracially solve the system of equations. show your work.
ax-by=b+a
bx+ay=b+a
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
The key here is to eliminate one variable so we can solve for the other. So I'm going to eliminate y.

ax-by=b+a
bx+ay=b+a

a^2x-aby=ab+a^2
b^2x+aby=b^2+ab

Note: I multiplied both sides of the first equation by 'a' and both sides of the second equation by 'b'

Now add the two equations to get

a^2x+b^2x=a^2+2ab+b^2

(a^2+b^2)x=a^2+2ab+b^2

x=(a^2+2ab+b^2)/(a^2+b^2)

Now that we know that x=(a^2+2ab+b^2)/(a^2+b^2), we can use it to solve for 'y'. I'll let you do that.
RELATED QUESTIONS
The solution of the following linear system is (13/5 , 1/5). Solve for the values of A... (answered by josmiceli,ikleyn)

Find the indicated product of (a+5b)(x+y)The answer is below. a) ax+6bx+ay+5by b)... (answered by richwmiller)

Please help. solve {ax + by = b - a {bx - ay = b - a (answered by pradhyumna.kumar@gmail.com)

If vectors A=B then their components are a. Ax=Ay and Bx=By b. Ax=By and Ay=Bx c.Ax=Bx (answered by math_helper)

Write a system of equations and solve: The curve y=ax^2+bx passes through (2,0) and... (answered by stanbon)

i'am a10TH std school girl, i'am not able to solve this particular sum in linear... (answered by longjonsilver)

If the solution of the system Ax + By = −16 Bx − Ay = −52 is (−5, 7), (answered by Alan3354)

how would you solve a system of equations algebracially that is 5x+2y=2 and... (answered by checkley77)

The line L1 => ax + by +c = 0 is perpendicular to line L2=> bx -ay +k = 0 ,which is... (answered by Fombitz)