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Respuestas a la pregunta
EJERCICIO 1
3x = 4y
5x - 6y = 38
x = (4y)/3
5x = 38 + 6y
x = (38 + 6y)/5
4y/3 = (38 + 6y)/5
(4y)(5) = (38 + 6y)(3)
20y = 114 + 18y
20y - 18y = 114
2y = 114
y = 114/2
y = 57
3x = 4y
3x = 4(57)
3x = 228
x = 228/3
x = 76
*Comprobación*
5x - 6y = 38
5(76) - 6(57) = 38
380 - 342 = 38
38 = 38
La respuesta es correcta**
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5a + 2b = 15
2a + b = 5
2a + b = 5
2a = 5 - b
a = (5 - b)/2
5a + 2b = 15
5a = 15 - 2b
a = (15 - 2b)/5
(5 - b)/2 = (15 - 2b)/5
(5 - b)(5) = (15 - 2b)(2)
25 - 5b = 30 - 4b
25 - 30 = -4b + 5b
b = -5
5a + 2b = 15
5a + 2(-5) = 15
5a - 10 = 15
5a = 15 + 10
5a = 25
a = 25/5
a = 5
*Comprobación*
2a + b = 5
2(5) -5 = 5
10 - 5 = 5
5 = 5
La respuesta es correcta**
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x/3 + y/4 = 6
3x - 4y = 4
x/3 + y/4 = 6
4x/12 + 3y/12 = 6
4x + 3y = 6(12)
4x + 3y = 72
4x + 3y = 72
3x - 4y = 4
4x = 72 - 3y
x = (72 - 3y)/4
3x = 4 + 4y
x = (4 + 4y)/3
(72 - 3y)/4 = (4 + 4y)/3
(72 - 3y)(3) = (4 + 4y)(4)
216 - 9y = 16 + 16y
216 - 16 = 16y + 9y
200 = 25y
y = 200/25
y = 8
3x - 4y = 4
3x - 4(8) = 4
3x - 32 = 4
3x = 4 + 32
3x = 36
x = 36/3
x = 12
*Comprobación*
4x + 3y = 72
4(12) + 3(8) = 72
48 + 24 = 72
72 = 72
La respuesta es correcta**
EJERCICIO 2
x + y = 45
x - y = 21
x = 45 - y
x = 21 + y
45 - y = 21 + y
45 - 21 = y + y
24 = 2y
y = 24/2
y = 12
x = 45 - y
x = 45 - 12
x = 33
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P = 22 cm
b = h + 5
P = 2h + 2b
22 = 2h + 2(h + 5)
22 = 2h + 2h + 10
22 = 4h + 10
22 - 10 = 4h
12 = 4h
h = 12/4
h = 3
b = h + 5
b = 3 + 5
b = 8