А) {10(x+4)-y=6(y+x)
{6(x+y)=6(y-5)-12
{10x+40-y=6y+6x
{6x+6y=6y-30-12
{4x-7y= -40
{6x=-42
x= -7
y=(-7*4+40)/7= 12/7
ответ: (-7; 12/7) или (-7; 1 5/7)
Б) {(x+2y)/8 + (x-y)/2= 2 |•8
{(4x-4y)/14-(7x+6y)/7= 1 |•14
{x+2y+4(x-y)=16
{4x-4y-2(7x+6y)=14
{x+2y+4x-4y=16
{4x-4y-14x-12y=14
{5x-2y=16
{-10x-16y=14 |: -2
{5x+8y= -7
5x-2y-5x-8y=16+7
-10y=23y= -2,3
x= (16-4,6)/5= 2,28
ответ: (2,28; -2,3)
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Answers & Comments
А) {10(x+4)-y=6(y+x)
{6(x+y)=6(y-5)-12
{10x+40-y=6y+6x
{6x+6y=6y-30-12
{4x-7y= -40
{6x=-42
x= -7
y=(-7*4+40)/7= 12/7
ответ: (-7; 12/7) или (-7; 1 5/7)
Б) {(x+2y)/8 + (x-y)/2= 2 |•8
{(4x-4y)/14-(7x+6y)/7= 1 |•14
{x+2y+4(x-y)=16
{4x-4y-2(7x+6y)=14
{x+2y+4x-4y=16
{4x-4y-14x-12y=14
{5x-2y=16
{-10x-16y=14 |: -2
{5x-2y=16
{5x+8y= -7
5x-2y-5x-8y=16+7
-10y=23
y= -2,3
x= (16-4,6)/5= 2,28
ответ: (2,28; -2,3)