Question

ayudaaa es para hoy son ecuaciones si no sabes no respondas

Answer 1

Respuesta:

:-)

Explicación paso a paso:

1)

$x-\left(2x+1\right)=8-\left(3x+3\right)\\x-2x-1=8-3x-3\\-x-1=-3x+5\\-x+3x=5+1\\2x=6\\x=6/2\\x=3$

2)

$15x-10=6x-\left(x+2\right)+\left(-x+3\right)\\15x-10=6x -x-2-x+3\\15x-10=4x+1\\15x-4x=1+10\\11x=11\\x=11/11\\x=1$

3)

$\left(5-3x\right)-\left(-4x+6\right)=\left(8x+11\right)-\left(3x-6\right)\\\left(5-3x\right)+4x-6 = \left(8x+11\right)-3x+6\\5-3x+4x-6 =8x+11-3x+6\\x-1=5x+17\\x-5x=17+1\\-4x=18\\x=18/-4 \\x=-9/2$

4)

$30x-\left(-x+6\right)+\left(-5x+4\right)=-\left(5x+6\right)+\left(-8+3x\right)\\30x+x-6-5x+4=-5x-6-8+3x\\26x-2=-2x-14\\26x+2x=-14+2\\28x=-12\\x=-12/28\\x=-3/7$

5)

$15x+\left(-6x+5\right)-2-\left(-x+3\right)=-\left(7x+23\right)-x+\left(3-2x\right)\\15x-6x+5-2+x-3=-7x-23-x+3-2x\\10x=-10x-20\\10x+10x=-20\\20x=-20\\x=-20/20\\x=-1$

6)

$3x+\left[-5x-\left(x+3\right)\:\right]=8x+\left(-5x-9\right)\\3x+\left[-5x-x-3\right]=8x-5x-9\\3x-5x-x-3=3x-9\\-3x-3=3x-9\\-3x-3x=-9+3\\-6x=-6\\x=-6/-6\\x=1$

7)

$16x-\left[3x-\left(6-9x\right)\right]=30x+\left[-\left(3x+2\right)-\left(x+3\right)\right]\\16x-\left[3x-6+9x\right]=30x+\left[-3x-2-x-3\right]\\16x-3x+6-9x=30x-3x-2-x-3\\4x+6=26x-5\\4x-26x=-5-6\\-22x=-11\\x=-11/-22\\x=1/2$

8)

$-\left\{3x+8-\left[-15+6x-\left(-3x+2\right)-\left(5x+4\right)\right]-29\right\}=-5\\-\left\{3x+8-\left[-15+6x+3x-2-5x-4\right]-29\right\}=-5\\-\left\{3x+8+15-6x-3x+2+5x+4-29\right\}=-5\\-3x-8-15+6x+3x-2-5x-4+29=-5\\x=-5$

9)

$\left(3x-7\right)^2-5\left(2x+1\right)\left(x-2\right)=-x^2-\left[-\left(3x+1\right)\right]\\9x^2-42x+49-5\left(2x^2-3x-2\right)=-x^2-\left[-3x-1\right]\\9x^2-42x+49-10x^2+15x+10=-x^2+3x+1\\-x^2-27x+59=-x^2+3x+1\\-x^2+x^2-27x-3x=1-59\\-30x=-58\\x=-58/-30\\x=29/15$

10)

$\left(3x-1\right)^2-5\left(x-2\right)=\left(2x+3\right)^2+\left(5x+2\right)\left(x-1\right)\\9x^2-6x+1-5\left(x-2\right)=4x^2+12x+9+\left(5x+2\right)\left(x-1\right)\\9x^2-6x+1-5x+10=4x^2+12x+9+5x^2-3x-2\\9x^2-11x+11=9x^2+9x+7\\9x^{2} -9x^{2}-11x-9x=7-11\\-20x=-4\\x=-4/-20\\x=1/5$