5.3 Further techniques in equation solving  (Page 2/2)

$16x-3-15x=8$ for $x.$

$4(y-5)-3y=-1$ for $y.$

$-2(a^2+3a-1)+2a^2+7a=0$ for $a.$

$5m(m-2a-1)-5m^2+2a(5m+3)=10$ for $a.$

Solve $8a+5=3a-5$ for $a.$

Solve $9y+3(y+6)=15y+21$ for $y.$

Solve $3k+2[4(k-1)+3]=63-2k$ for $k.$

$6x+3(1-2x)=3$

$-8m+4(2m-7)=28$

$3(2x-4)-2(3x+1)+14=0$

$-5(x+6)+8=3[4-(x+2)]-2x$

$3x+1=16$

$6y-4=20$

$4a-1=27$

$3x+4=40$

$2y+7=-3$

$8k-7=-23$

$5x+6=-9$

$7a+2=-26$

$10y-3=-23$

$14x+1=-55$

$\frac{x}{9}+2=6$

$\frac{m}{7}-8=-11$

$\frac{y}{4}+6=12$

$\frac{x}{8}-2=5$

$\frac{m}{11}-15=-19$

$\frac{k}{15}+20=10$

$6+\frac{k}{5}=5$

$1-\frac{n}{2}=6$

$\frac{7x}{4}+6=-8$

$\frac{-6m}{5}+11=-13$

$\frac{3k}{14}+25=22$

$3(x-6)+5=-25$

$16(y-1)+11=-85$

$6x+14=5x-12$

$23y-19=22y+1$

$-3m+1=3m-5$

$8k+7=2k+1$

$12n+5=5n-16$

$2(x-7)=2x+5$

$-4(5y+3)+5(1+4y)=0$

$3x+7=-3-(x+2)$

$4(4y+2)=3y+2[1-3(1-2y)]$

$5(3x-8)+11=2-2x+3(x-4)$

$12-(m-2)=2m+3m-2m+3(5-3m)$

$-4\cdot k-(-4-3k)=-3k-2k-(3-6k)+1$

$3[4-2(y+2)]=2y-4[1+2(1+y)]$

$-5[2m-(3m-1)]=4m-3m+2(5-2m)+1$

Solve $I=\frac{E}{R}$ for $R.$ Find the value of $R$ when $I=0.005$ and $E=\mathrm{0.0035.}$

Solve $P=R-C$ for $R.$ Find the value of $R$ when $P=27$ and $C=85.$

Solve $z=\frac{x-\overline{x}}{s}$ for $x.$ Find the value of $x$ when $z=1.96,$ $s=2.5,$ and $\overline{x}=15.$

Solve $F=\frac{S_x^2}{S_y^2}$ for $S_x^2\cdot S_x^2$ represents a single quantity. Find the value of $S_x^2$ when $F=2.21$ and $S_y^2=\mathrm{3.24.}$

Solve $p=\frac{nRT}{V}$ for $R.$

Solve $x=4y+7$ for $y.$

Solve $y=10x+16$ for $x.$

Solve $2x+5y=12$ for $y.$

Solve $-9x+3y+15=0$ for $y.$

Solve $m=\frac{2n-h}{5}$ for $n.$

Solve $t=\frac{Q+6P}{8}$ for $P.$

Solve $=\frac{\square +9j}{\Delta }$ for $j$ .

Solve for .

( [link] ) Simplify ${(x+3)}^2{(x-2)}^3{(x-2)}^4(x+3).$

( [link] ) Find the product. $(x-7)(x+7).$

( [link] ) Find the product. ${(2x-1)}^2.$

( [link] ) Solve the equation $y-2=-2.$

( [link] ) Solve the equation $\frac{4x}{5}=-3.$