Solving For Variables In Simultaneous Equations 1) { <mtable columnalign="left left

Theresa Archer

Theresa Archer

Answered question

2022-06-13

Solving For Variables In Simultaneous Equations
1)
{ a 2 + b 2 = a ( a + d ) b = b b 2 + d 2 = d
2)
{ a 2 + b c = a ( a + d ) b = b ( a + d ) c = c b c + d 2 = d

Answer & Explanation

Mateo Barajas

Mateo Barajas

Beginner2022-06-14Added 13 answers

1)
{ a 2 + b 2 = a ( a + d ) b = b b 2 + d 2 = d
in equation 2 divide both side by b
{ a 2 + b 2 = a a + d = 1 b 2 + d 2 = d
from eqn 2 and 3
a = 1 d
b 2 = d d 2
put these value in eqn 1
( 1 d ) 2 + d d 2 = 1 d d = 0
it will give a = 1 , b = 0
2)
{ a 2 + b c = a ( a + d ) b = b ( a + d ) c = c b c + d 2 = d
in eqn 2 , 3 divide both side by b and c
a 2 + b c = a a + d = 1 a + d = 1 b c + d 2 = d
a 2 + b c = a a + d = 1 b c + d 2 = d
from eqn 1 and 2
b c = a a 2
d = 1 a
put these value in 3
a a 2 + ( 1 a ) 2 = 1 a a = 0
that will give d = 1 and either of b and c will 0.

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