Question

Ecuaciones con incógnitas repetidas. Resuelve y verifica la solución obtenida. a. m + 2 + m = 7 – 1 b. 2t + 4t = 3/2 c. 3q + 2q + 15 = 5. 6 d. x + 3x – 2 = 2x + 6

Answer 1

a) m + 2 + m = 7 - 1

$2m = 7 - 1 - 2$

$2m = 4$

$m = 4 \div 2 = 2$

m = 2

2 + 2 + 2 = 7 - 1

6 = 6

___________________

b) 2t + 4t = 3/2

$6t = \frac{3}{2}$

$t = \frac{3}{2} \div 6 = \frac{1}{4}$

t = 1/4

2 * 1/4 + 4 * 1/4 = 3/2

2/4 + 4/4 = 3/2

1/2 + 1 = 3/2

3/2 = 3/2

__________________

c) 3q + 2q + 15 = 5 * 6

$5q + 15 = 30$

$5q = 30 - 15$

$5q = 15$

$q = 15 \div 5 = 3$

q = 3

3 * 3 + 2 * 3 + 15 = 5 * 6

9 + 6 + 15 = 30

30 = 30

_______________________

d) x + 3x - 2 = 2x + 6

$x + 3x - 2x = 6 + 2$

$2x = 8$

$x = 8 \div 2 = 4$

x = 4

4 + 3 * 4 - 2 = 2 * 4 + 6

4 + 12 - 2 = 8 + 6

14 = 14

___________________________

espero haberte ayudado