x+y=3
2x -3y=4
6x+2y=25
7x+3y=20
5x-3y=1
4x+7y=5 ajudem a resolver pfvr!!!!!
Soluções para a tarefa
Resposta passo a passo:
x + y = 3
2x - 3y = 4
x + y = 3
x = 3 - y
2x - 3y = 4
2(3 - y) - 3y = 4
6 - 2y - 3y = 4
6 - 5y = 4
6 = 4 + 5y
6 - 4 = 5y
2 = 5y
5y = 2
y = 2/5
x = 3 - y
x = 3 - 2/5
x = 15/5 - 2/5
x = (15 - 2)/5
x = 13/5
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6x + 2y = 25
7x + 3y = 20
6x + 2y = 25
2y = 25 - 6x
y = (25 - 6x)/2
7x + 3y = 20
7x + 3((25 - 6x)/2) = 20
7x + (75 - 18x)/2 = 20
(14x)/2 + (75 - 18x)/2 = 20
(14x + 75 - 18x)/2 = 20
14x + 75 - 18x = 20 • 2
14x + 75 - 18x = 40
14x + 75 = 40 + 18x
75 - 40 = 18x - 14x
35 = 4x
4x = 35
x = 35/4
y = (25 - 6x)/2
y = (25 - 6(35/4))/2
y = (25 - (210/4))/2
y = (50/2 - 105/2)/2
y = ((50 - 105)/2)/2
y = (50 - 105)/(2 • 2)
y = - 55/4
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5x - 3y = 1
4x + 7y = 5
5x - 3y = 1
5x = 3y + 1
x = (3y + 1)/5
4x + 7y = 5
4((3y + 1)/5) + 7y = 5
(12y + 4)/5 + 7y = 5
(12y + 4)/5 + (35y)/5 = 5
(12y + 4 + 35y)/5 = 5
12y + 4 + 35y = 5 • 5
12y + 35y + 4 = 25
47y + 4 = 25
47y = 25 - 4
47y = 21
y = 21/47
x = (3y + 1)/5
x = (3(21/47) + 1)/5
x = ((63/47) + 1)/5
x = (63/47 + 47/47)/5
x = ((63 + 47)/47)/5
x = (110/47)/5
x = 110/(47 • 5)
x = 110/(5 • 47)
x = (110/5)/47