Układ równań metodą przeciwnych współczynników
1. {2x+3y=18
{x+y=7
2. 4x-3y=26
x+y=-3
3. 4x+3y=10
3x+4y=11
1. {2x+3y=18
{x+y=7
2. 4x-3y=26
x+y=-3
3. 4x+3y=10
3x+4y=11
od Monialzuik
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Odpowiedzi
1. {2x+3y=18
{x+y=7 /*-2
{-2x-2y=-14
+{2x+3y=18
y=4
2x+3*4=18
2x=6
{x=3
{y=4
2. {4x-3y=26
{x+y=-3 /*-4
{-4x-4y=12
+{4x-3y=26
7y=38
y=5 3/38
-4x-4*5 3/38=12
-4x=12+20
{x=-8
{y=5 i 3/38
3. {4x+3y=10 /*3
{3x+4y=11 /*-4
{12x+9y=30
+{-12x-16y=-44
7y=-14
y=-2
12x+9*-2=30
12x=48
{x=4
{y=-2
{x+y=7 /*-2
{-2x-2y=-14
+{2x+3y=18
y=4
2x+3*4=18
2x=6
{x=3
{y=4
2. {4x-3y=26
{x+y=-3 /*-4
{-4x-4y=12
+{4x-3y=26
7y=38
y=5 3/38
-4x-4*5 3/38=12
-4x=12+20
{x=-8
{y=5 i 3/38
3. {4x+3y=10 /*3
{3x+4y=11 /*-4
{12x+9y=30
+{-12x-16y=-44
7y=-14
y=-2
12x+9*-2=30
12x=48
{x=4
{y=-2
1. {2x+3y=18
{x+y=7 / *(-2)
{2x+3y=18
{-2x-2y=-14
{y=4
{x+y=7
{x+4=7 /-4
{x=3
{x=3
{y=4
2. {4x-3y=26
{x+y=-3 / * (-4)
{4x-3y=26
{-4x-4y=12
{-7y=38 / : (-7)
{y=38/-7
{y=-5 i 3/7
{x+y=-3
{x+(-5)3/7=-3 / + 5 całych i 3/7
{x=2 i 3/7
{x=2 i 3/7
{y=-5 i 3/7
3. {4x+3y=10 / *3
{3x+4y=11 / *(-4)
{12x+9y=30
{-12x-16y=-44
{ -7y=-14 / :(-7)
{ y=2
{4x+3y=10
{4x+3*2=10
{4x+6=10 /-6
{4x=4 / :4
{x=1
{x=1
{y=2
{x+y=7 / *(-2)
{2x+3y=18
{-2x-2y=-14
{y=4
{x+y=7
{x+4=7 /-4
{x=3
{x=3
{y=4
2. {4x-3y=26
{x+y=-3 / * (-4)
{4x-3y=26
{-4x-4y=12
{-7y=38 / : (-7)
{y=38/-7
{y=-5 i 3/7
{x+y=-3
{x+(-5)3/7=-3 / + 5 całych i 3/7
{x=2 i 3/7
{x=2 i 3/7
{y=-5 i 3/7
3. {4x+3y=10 / *3
{3x+4y=11 / *(-4)
{12x+9y=30
{-12x-16y=-44
{ -7y=-14 / :(-7)
{ y=2
{4x+3y=10
{4x+3*2=10
{4x+6=10 /-6
{4x=4 / :4
{x=1
{x=1
{y=2
