Question

X + Y = to a + b and it's a minus b y equal to a square minus b square solve the following linear simultaneous equations in two variables by the method of elimination

Answer 1

your ask very nice question
given that
x+y=a+b. -1
ax-by=a^2-b^2
=ax-by=(a-b)(a+b)
=ax-by=(a-b)(x+y)
=ax-by=ax+ay-bx-bx
=ay-bx =0
=ay=bx

ax-by=a^2-b^2. -1
ay-bx=0. -2

y×(1). x×(2)

axy-by^2=y(a^2-b^2)
axy-bx^2=0
substraction both sides you get
b(x^2-y^2)=y*(a^2-b^2)
b={y(a-b)(a+b)}/(x-y)(a+b)
b=y(a-b)/(x-y)


by putting the value of b you get a



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Answer 2

Answer:

Step-by-step explanation:

x+y=a+b. -1

ax-by=a^2-b^2

=ax-by=(a-b)(a+b)

=ax-by=(a-b)(x+y)

=ax-by=ax+ay-bx-bx

=ay-bx =0

=ay=bx

ax-by=a^2-b^2. -1

ay-bx=0. -2

y×(1). x×(2)

axy-by^2=y(a^2-b^2)

axy-bx^2=0

substraction both sides you get

b(x^2-y^2)=y*(a^2-b^2)

b={y(a-b)(a+b)}/(x-y)(a+b)

b=y(a-b)/(x-y)

by putting the value of b you get a