Question

solve x and y only by substitution method​

Answer 1

Answer:

y=(b²-ab)/(a+b), x=(a²-ab)/(a+b)

Step-by-step explanation:

• x+y=a-b  => x=a-b-y

• ax-by=a²-b²    
• a(a-b-y)-by=a²-b²    ---- substitute x
• a²-ab-ay-by=a²-b
• b²-ab=ay+by
• y(a+b)=b²-ab
• y=(b²-ab)/(a+b)

• x=a-b-y=a-b-(b²-ab)/(a+b) ---- substitute y
• x=((a-b)(a+b)+b²-ab)/(a+b)
• x=(a²-b²+b²-ab)/(a+b)
• x=(a²-ab)/(a+b)

Solved