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מתמטיקה תיכונית/אלגברה תיכונית/משוואות/משוואות בשני נעלמים או יותר/תרגילים/משוואות לינאריות רמה א
שפה
מעקב
עריכה
<
מתמטיקה תיכונית
|
אלגברה תיכונית
|
משוואות
|
משוואות בשני נעלמים או יותר
|
תרגילים
משוואות לינאריות רמה א
עריכה
{
−
3
y
=
12
4
x
−
4
y
=
32
{\displaystyle {\begin{cases}-3y=12\\4x-4y=32\end{cases}}}
{
3
x
−
2
y
=
9
−
x
=
−
3
{\displaystyle {\begin{cases}3x-2y=9\\-x=-3\end{cases}}}
{
−
3
x
−
4
y
=
14
3
y
−
x
=
−
4
{\displaystyle {\begin{cases}-3x-4y=14\\3y-x=-4\end{cases}}}
{
−
x
−
4
y
=
4
4
x
=
16
{\displaystyle {\begin{cases}-x-4y=4\\4x=16\end{cases}}}
{
3
x
+
4
y
=
−
4
3
y
−
2
x
=
−
3
{\displaystyle {\begin{cases}3x+4y=-4\\3y-2x=-3\end{cases}}}
{
4
y
−
2
x
=
4
−
4
x
−
y
=
−
10
{\displaystyle {\begin{cases}4y-2x=4\\-4x-y=-10\end{cases}}}
{
3
x
−
2
y
=
−
11
2
y
−
2
x
=
10
{\displaystyle {\begin{cases}3x-2y=-11\\2y-2x=10\end{cases}}}
{
2
x
+
3
y
=
−
11
4
x
−
4
y
=
8
{\displaystyle {\begin{cases}2x+3y=-11\\4x-4y=8\end{cases}}}
{
3
x
+
y
=
7
4
x
−
y
=
7
{\displaystyle {\begin{cases}3x+y=7\\4x-y=7\end{cases}}}
{
−
3
y
=
−
6
x
+
3
y
=
8
{\displaystyle {\begin{cases}-3y=-6\\x+3y=8\end{cases}}}
{
x
+
3
y
=
5
−
4
x
−
2
y
=
10
{\displaystyle {\begin{cases}x+3y=5\\-4x-2y=10\end{cases}}}
{
−
2
x
−
y
=
0
−
4
x
−
3
y
=
−
4
{\displaystyle {\begin{cases}-2x-y=0\\-4x-3y=-4\end{cases}}}
{
2
y
−
x
=
1
4
y
−
x
=
−
1
{\displaystyle {\begin{cases}2y-x=1\\4y-x=-1\end{cases}}}
{
−
2
y
=
2
4
x
−
y
=
−
15
{\displaystyle {\begin{cases}-2y=2\\4x-y=-15\end{cases}}}
{
−
2
x
−
4
y
=
8
4
x
+
2
y
=
8
{\displaystyle {\begin{cases}-2x-4y=8\\4x+2y=8\end{cases}}}
{
4
x
+
y
=
−
5
2
x
−
3
y
=
1
{\displaystyle {\begin{cases}4x+y=-5\\2x-3y=1\end{cases}}}
{
3
x
−
3
y
=
−
6
3
x
=
−
6
{\displaystyle {\begin{cases}3x-3y=-6\\3x=-6\end{cases}}}
{
4
x
+
3
y
=
17
y
−
3
x
=
−
3
{\displaystyle {\begin{cases}4x+3y=17\\y-3x=-3\end{cases}}}
{
3
x
+
2
y
=
−
17
2
y
−
x
=
−
5
{\displaystyle {\begin{cases}3x+2y=-17\\2y-x=-5\end{cases}}}
{
2
y
−
2
x
=
0
3
x
+
2
y
=
20
{\displaystyle {\begin{cases}2y-2x=0\\3x+2y=20\end{cases}}}
{
3
y
−
7
x
=
−
46
2
x
+
8
y
=
22
{\displaystyle {\begin{cases}3y-7x=-46\\2x+8y=22\end{cases}}}
{
6
x
−
2
y
=
18
−
6
x
−
5
y
=
−
18
{\displaystyle {\begin{cases}6x-2y=18\\-6x-5y=-18\end{cases}}}
{
3
x
+
3
y
=
−
3
y
−
7
x
=
−
65
{\displaystyle {\begin{cases}3x+3y=-3\\y-7x=-65\end{cases}}}
{
−
5
y
=
5
4
x
−
7
y
=
−
5
{\displaystyle {\begin{cases}-5y=5\\4x-7y=-5\end{cases}}}
{
x
−
2
y
=
−
2
2
x
+
9
y
=
48
{\displaystyle {\begin{cases}x-2y=-2\\2x+9y=48\end{cases}}}
{
4
x
=
4
6
x
−
9
y
=
−
30
{\displaystyle {\begin{cases}4x=4\\6x-9y=-30\end{cases}}}
{
−
5
y
=
−
10
9
y
−
6
x
=
36
{\displaystyle {\begin{cases}-5y=-10\\9y-6x=36\end{cases}}}
{
5
x
+
7
y
=
−
103
3
x
−
5
y
=
21
{\displaystyle {\begin{cases}5x+7y=-103\\3x-5y=21\end{cases}}}
{
5
x
+
5
y
=
0
5
x
+
9
y
=
32
{\displaystyle {\begin{cases}5x+5y=0\\5x+9y=32\end{cases}}}
{
6
x
−
4
y
=
60
2
x
−
7
y
=
71
{\displaystyle {\begin{cases}6x-4y=60\\2x-7y=71\end{cases}}}
{
x
+
6
y
=
13
−
2
x
−
3
y
=
−
8
{\displaystyle {\begin{cases}x+6y=13\\-2x-3y=-8\end{cases}}}
{
9
x
−
9
y
=
9
6
x
−
2
y
=
−
30
{\displaystyle {\begin{cases}9x-9y=9\\6x-2y=-30\end{cases}}}
{
3
x
−
4
y
=
−
22
9
x
−
7
y
=
−
46
{\displaystyle {\begin{cases}3x-4y=-22\\9x-7y=-46\end{cases}}}
{
3
x
=
3
9
x
+
9
y
=
45
{\displaystyle {\begin{cases}3x=3\\9x+9y=45\end{cases}}}
{
3
x
+
8
y
=
3
6
x
+
8
y
=
−
18
{\displaystyle {\begin{cases}3x+8y=3\\6x+8y=-18\end{cases}}}
{
8
x
=
−
32
−
x
−
y
=
9
{\displaystyle {\begin{cases}8x=-32\\-x-y=9\end{cases}}}
{
4
y
−
2
x
=
−
20
−
9
x
−
3
y
=
99
{\displaystyle {\begin{cases}4y-2x=-20\\-9x-3y=99\end{cases}}}
{
−
x
−
y
=
0
4
x
=
−
32
{\displaystyle {\begin{cases}-x-y=0\\4x=-32\end{cases}}}
{
−
7
x
=
−
7
6
x
+
7
y
=
62
{\displaystyle {\begin{cases}-7x=-7\\6x+7y=62\end{cases}}}
{
−
9
x
−
2
y
=
−
8
−
8
x
−
3
y
=
−
12
{\displaystyle {\begin{cases}-9x-2y=-8\\-8x-3y=-12\end{cases}}}
{
2
x
+
7
y
=
−
34
−
8
x
−
4
y
=
−
8
{\displaystyle {\begin{cases}2x+7y=-34\\-8x-4y=-8\end{cases}}}
{
−
4
x
=
24
6
y
−
x
=
−
24
{\displaystyle {\begin{cases}-4x=24\\6y-x=-24\end{cases}}}
{
−
4
x
−
6
y
=
−
70
−
8
x
−
2
y
=
−
70
{\displaystyle {\begin{cases}-4x-6y=-70\\-8x-2y=-70\end{cases}}}
{
4
x
+
y
=
23
7
y
−
6
x
=
−
77
{\displaystyle {\begin{cases}4x+y=23\\7y-6x=-77\end{cases}}}
{
9
x
+
6
y
=
−
63
6
x
−
7
y
=
−
42
{\displaystyle {\begin{cases}9x+6y=-63\\6x-7y=-42\end{cases}}}
{
7
y
−
9
x
=
63
8
x
−
9
y
=
−
81
{\displaystyle {\begin{cases}7y-9x=63\\8x-9y=-81\end{cases}}}
{
6
x
−
5
y
=
−
23
5
y
−
9
x
=
47
{\displaystyle {\begin{cases}6x-5y=-23\\5y-9x=47\end{cases}}}
{
−
6
x
−
y
=
16
7
x
−
9
y
=
−
100
{\displaystyle {\begin{cases}-6x-y=16\\7x-9y=-100\end{cases}}}
{
4
x
−
7
y
=
−
18
x
−
8
y
=
8
{\displaystyle {\begin{cases}4x-7y=-18\\x-8y=8\end{cases}}}
{
−
9
x
−
2
y
=
38
2
y
−
8
x
=
30
{\displaystyle {\begin{cases}-9x-2y=38\\2y-8x=30\end{cases}}}
תשובות
עריכה
(
4
,
−
4
)
{\displaystyle (4,-4)}
(
3
,
0
)
{\displaystyle (3,0)}
(
−
2
,
−
2
)
{\displaystyle (-2,-2)}
(
4
,
−
2
)
{\displaystyle (4,-2)}
(
0
,
−
1
)
{\displaystyle (0,-1)}
(
2
,
2
)
{\displaystyle (2,2)}
(
−
1
,
4
)
{\displaystyle (-1,4)}
(
−
1
,
−
3
)
{\displaystyle (-1,-3)}
(
2
,
1
)
{\displaystyle (2,1)}
(
2
,
2
)
{\displaystyle (2,2)}
(
−
4
,
3
)
{\displaystyle (-4,3)}
(
−
2
,
4
)
{\displaystyle (-2,4)}
(
−
3
,
−
1
)
{\displaystyle (-3,-1)}
(
−
4
,
−
1
)
{\displaystyle (-4,-1)}
(
4
,
−
4
)
{\displaystyle (4,-4)}
(
−
1
,
−
1
)
{\displaystyle (-1,-1)}
(
−
2
,
0
)
{\displaystyle (-2,0)}
(
2
,
3
)
{\displaystyle (2,3)}
(
−
3
,
−
4
)
{\displaystyle (-3,-4)}
(
4
,
4
)
{\displaystyle (4,4)}
(
7
,
1
)
{\displaystyle (7,1)}
(
3
,
0
)
{\displaystyle (3,0)}
(
8
,
−
9
)
{\displaystyle (8,-9)}
(
−
3
,
−
1
)
{\displaystyle (-3,-1)}
(
6
,
4
)
{\displaystyle (6,4)}
(
1
,
4
)
{\displaystyle (1,4)}
(
−
3
,
2
)
{\displaystyle (-3,2)}
(
−
8
,
−
9
)
{\displaystyle (-8,-9)}
(
−
8
,
8
)
{\displaystyle (-8,8)}
(
4
,
−
9
)
{\displaystyle (4,-9)}
(
1
,
2
)
{\displaystyle (1,2)}
(
−
8
,
−
9
)
{\displaystyle (-8,-9)}
(
−
2
,
4
)
{\displaystyle (-2,4)}
(
1
,
4
)
{\displaystyle (1,4)}
(
−
7
,
3
)
{\displaystyle (-7,3)}
(
−
4
,
−
5
)
{\displaystyle (-4,-5)}
(
−
8
,
−
9
)
{\displaystyle (-8,-9)}
(
−
8
,
8
)
{\displaystyle (-8,8)}
(
1
,
8
)
{\displaystyle (1,8)}
(
0
,
4
)
{\displaystyle (0,4)}
(
4
,
−
6
)
{\displaystyle (4,-6)}
(
−
6
,
−
5
)
{\displaystyle (-6,-5)}
(
7
,
7
)
{\displaystyle (7,7)}
(
7
,
−
5
)
{\displaystyle (7,-5)}
(
−
7
,
0
)
{\displaystyle (-7,0)}
(
0
,
9
)
{\displaystyle (0,9)}
(
−
8
,
−
5
)
{\displaystyle (-8,-5)}
(
−
4
,
8
)
{\displaystyle (-4,8)}
(
−
8
,
−
2
)
{\displaystyle (-8,-2)}
(
−
4
,
−
1
)
{\displaystyle (-4,-1)}