Question

Shri Solve the following equations and check your results. Sol (1). 4z + 3 = 6 + 2z (2). 2x – 1 = 14 – X (3). 8x + 4 = 3 (x - 1)+7​

Answer 1

Answer:

1.$4z+3=6+2z\quad :\quad z=\frac{3}{2}\quad \left(\mathrm{Decimal}:\quad z=1.5\right)$

$Steps$

$4z+3=6+2z$

$\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}$

$4z+3-3=6+2z-3$

$4z=2z+3$

$\mathrm{Subtract\:}2z\mathrm{\:from\:both\:sides}$

$4z-2z=2z+3-2z$

$2z=3$

$\mathrm{Add\:}1\mathrm{\:to\:both\:sides}$

$2x-1+1=14-x+1$

$2x=-x+15$

$\mathrm{Add\:}x\mathrm{\:to\:both\:sides}$

$2x+x=-x+15+x$

$3x=15$

$\frac{3x}{3}=\frac{15}{3}$

$x=5$

3. $8x+4=3\left(x-1\right)+7\quad :\quad x=0$