Question

7
2
+2
3X+25
2 2
X =
f). BX-10
132 - 2x
E2
2​

Answer 1

Explicación paso a paso:

a)

$\frac{x}{4} = \frac{15}{6}$

$6x = 15 \times 4 \\ 6x = 60 \\ x = 60 \div 6 \\ x = 10$

b)

$\frac{63}{x} = \frac{9}{7}$

$63 \times 7 = 9x \\ 441 = 9x \\ 441 \div 9 = x \\ 49 = x$

c)

$\frac{8}{5} = \frac{64}{y}$

$8y = 64 \times 5 \\ 8y = 320 \\ y = 320 \div 8 \\ y = 40$

d)

$\frac{49}{56} = \frac{z}{8}$

$49 \times 8 = 56z \\ 392 = 56z \\ 396 \div 56 = z \\ 7 = z$

e)

$\frac{5x + 2}{3x + 25} = \frac{1}{2}$

$2(5x + 2) = 1(3x + 25) \\ 10x + 4 = 3x + 25 \\ 10x - 3x = 25 - 4 \\ 7x = 21 \\ x = 21 \div 7 \\ x = 3$

f)

$\frac{8x - 10}{13x - 2x} = \frac{2}{2}$

$2(8x - 10) = 2(13x - 2x) \\ 16x - 20 = 26x - 4x \\ 16x - 20 = 22x \\ - 20 = 22x - 16x \\ - 20 = 6x \\ \frac{ - 20}{6} = x \\ \frac{ - 10}{3} = x$