rozwiąż układy równania metodą podstawiania
a)
{3m+n=9
{2m-5n=-14
b)
{x-2y=3
{-2x+y=0
c)
{2x+3y=4
{8x-5y=-1
* to { ma słóżyć jako jedno duże :D Daje NAJJJ :d
{
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a)
3m + n = 9
2m - 5n = -14
n = 9 - 3m
2m - 5(9-3m) = -14
2m - 45 + 15m = -14
17m = 31
m = 31/17
n = 9 - 93\17 = 153/17 - 93/17 = 60/17
b)
x-2y=3
-2x+y=0
x = 3 + 2y
-2(3+2y) + y = 0
-6 - 3y = 0
-3y = 6
y = -2
x = -1
c)
2x+3y = 4
8x - 5y = -1
2x = 4 - 3y
x = 2 - 3/2y
8(2 - 3y/2) - 5y = -1
16 - 12y - 5y = -1
-17y = -17
y = 1
x = 1/2
a)
3m + n = 9
2m - 5n = -14
n = 9 - 3m
2m - 5(9-3m) = -14
2m - 45 + 15m = -14
17m = 31
m = 31/17
n = 9 - 93\17 = 153/17 - 93/17 = 60/17
b)
x-2y=3
-2x+y=0
x = 3 + 2y
-2(3+2y) + y = 0
-6 - 3y = 0
-3y = 6
y = -2
x = -1
c)
2x+3y = 4
8x - 5y = -1
2x = 4 - 3y
x = 2 - 3/2y
8(2 - 3y/2) - 5y = -1
16 - 12y - 5y = -1
-17y = -17
y = 1
x = 1/2