Question

Me pueden hayudar pls
:)

Answer 1

Explicación paso a paso:

1.

$x + 6y = 27 \\ x = 27 - 6y$

$7x - 3y = 9 \\ 7 \times (27 - 6y) - 3y = 9 \\ 189 - 45y = 9 \\ 189 - 9 = 45y \\ 180 \div 45 = y \\ y = 4$

$x = 27 - 6y \\ x = 27 - 6 \times 4 \\x = 27 - 24 \\ x = 3$

2.

$3x - 2y = - 2 \\ - 2y = - 2 - 3x \\y = \frac{ - 2 - 3x}{ - 2} \\ y = \frac{2 + 3x}{2}$

$5x + 8y = - 60 \\ 5x + 8 \times \frac{2 + 3x}{2} = - 60 \\ 5x + 8 + 12x = - 60 \\ 17x = - 68 \\ x = - 68 \div 17 \\ x = - 4$

$3x - 2y = - 2 \\ 3 \times ( - 4) - 2y = - 2 \\ - 12 - 2y = - 2 \\ y = \frac{ - 2 + 12}{ - 2} \\ y = - 5$

3.

$2x - y = - 4 \\ - y = - 4 - 2x \\ y = 4 + 2x$

$3x + 5 \times (4 + 2x) = 7 \\ 3x + 20 + 10x = 7 \\ 13x = 7 - 20 \\ x = - 13 \div 13 \\ x = - 1$

$3x + 5y = 7 \\ 3 \times ( - 1) + 5y = 7 \\ - 3 + 5y = 7 \\ y = \frac{7 + 3}{5} \\ y = 2$

4.

$7x - 4y = 5 \\ y = \frac{5 - 7x}{ - 4} \\ y = \frac{ - 5 + 7x}{4}$

$9x + 8 \times \frac{ - 5 + 7x}{4} = 13 \\ 9x - 10 + 14x = 13 \\ x = 23 \div 23 \\ x = 1$

$7 \times 1 - 4y = 5 \\ y = \frac{5 - 7}{ - 4} \\ y = 0.5$