a) 2x + y = 8
3x- y = 7
b) x+2= 7
x -5 = 7
c) 3x + 2y =4
5x + 2y=5
d)5x - 3y=1
3x + 3y=2
10 ponto pra que fizer certo bjs.
a) {2x + y = 8
...{3x - y = 7
---------------------
..5x = 15
x = 3
y = 8 - 2x
y = 8 - 6
y = 2
S = {3,2}
***********************************
b) {x + 2y = 7
...{-x + 5y = -7
----------------------
..........7y = 0
...........y = 0
x + 0 = 7
x = 7
S = {0, 7}
*********************************************
c) {-3x - 2y = -4
...{5x + 2y = 5
-----------------------
...2x = 1
x = 1/2
2y = 5 - 5x
2y = 5 - 5.1/2
y = (5/2) /2
y = 5/2 * 1/2
y = 5/4
S = {1/2 , 5/4}
*************************************************
d) {5x - 3y = 1
....{3x + 3y = 2
------------------------
.....8x = 3
x = 3/8
3y = 2 - 3x
3y = 2 - 3.3/8
3y = 2 - 9/8
y = (7/8) / 3
y = 7/8 * 1/3
y = 7/24
S = {3/8 , 7/24}
Fiz tudo como prometido !
a) 2x+y=8
3x-y=7
5x=15
x=3
6+y=8
y=8-6
y=2
b) x+2y=7 Multiplica por (-1)
x-5y=7
-x+2y=7
7y=7
y=1
x-5=7
x=7+5
x=12
Cansei de fazer o resto, beeijo boa sorte (:
2x+y=8
x-y=7
------------
3x=15
x=15/3
x=5
5-y=7
-y=7-5
-y=2
y=-2
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Answers & Comments
Verified answer
a) {2x + y = 8
...{3x - y = 7
---------------------
..5x = 15
x = 3
y = 8 - 2x
y = 8 - 6
y = 2
S = {3,2}
***********************************
b) {x + 2y = 7
...{-x + 5y = -7
----------------------
..........7y = 0
...........y = 0
x + 0 = 7
x = 7
S = {0, 7}
*********************************************
c) {-3x - 2y = -4
...{5x + 2y = 5
-----------------------
...2x = 1
x = 1/2
2y = 5 - 5x
2y = 5 - 5.1/2
y = (5/2) /2
y = 5/2 * 1/2
y = 5/4
S = {1/2 , 5/4}
*************************************************
d) {5x - 3y = 1
....{3x + 3y = 2
------------------------
.....8x = 3
x = 3/8
3y = 2 - 3x
3y = 2 - 3.3/8
3y = 2 - 9/8
y = (7/8) / 3
y = 7/8 * 1/3
y = 7/24
S = {3/8 , 7/24}
Fiz tudo como prometido !
a) 2x+y=8
3x-y=7
5x=15
x=3
6+y=8
y=8-6
y=2
b) x+2y=7 Multiplica por (-1)
x-5y=7
-x+2y=7
x-5y=7
7y=7
y=1
x-5=7
x=7+5
x=12
Cansei de fazer o resto, beeijo boa sorte (:
2x+y=8
x-y=7
------------
3x=15
x=15/3
x=5
x-y=7
5-y=7
-y=7-5
-y=2
y=-2