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Solve the following equations.
\( \frac{z}{z+15}=\frac{4}{9} \).

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:47:38

35 Views

Given:\( \frac{z}{z+15}=\frac{4}{9} \)To do: We have to solve the given equation.Solution:$\frac{z}{z+15}=\frac{4}{9}$$\Rightarrow 9(z)=4 \times(z+15)$                [On cross multiplication]$\Rightarrow 9z=4z+60$$\Rightarrow 9z-4z=60$$\Rightarrow 5z=60$$\Rightarrow z=\frac{60}{5}$$\Rightarrow z=12$The value of $z$ is $12$. 

Solve the following equations.
\( \frac{3 y+4}{2-6 y}=\frac{-2}{5} \).

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:47:38

47 Views

Given:\( \frac{3 y+4}{2-6 y}=\frac{-2}{5} \)To do: We have to solve the given equation.Solution:$\frac{3 y+4}{2-6 y}=\frac{-2}{5}$$\Rightarrow 5(3y+4)=(-2) \times(2-6y)$                [On cross multiplication]$\Rightarrow 15y+20=-4+12y$$\Rightarrow 15y-12y=-4-20$$\Rightarrow 3y=-24$$\Rightarrow y=\frac{-24}{3}$$\Rightarrow y=-8$The value of $y$ is $-8$. Read More

Solve the following equations.
\( \frac{7 y+4}{y+2}=\frac{-4}{3} \).

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:47:38

41 Views

Given:\( \frac{7 y+4}{y+2}=\frac{-4}{3} \)To do: We have to solve the given equation.Solution:$\frac{7 y+4}{y+2}=\frac{-4}{3}$$\Rightarrow 3(7y+4)=(-4) \times(y+2)$                [On cross multiplication]$\Rightarrow 21y+12=-4y-8$$\Rightarrow 21y+4y=-8-12$$\Rightarrow 25y=-20$$\Rightarrow y=\frac{-20}{25}$$\Rightarrow y=\frac{-4}{5}$The value of $y$ is $\frac{-4}{5}$. Read More

Solve the following equations.
\( x-2=7 \).

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:47:38

43 Views

Given:\( x-2=7 \).To do: We have to solve the given equation.Solution:$x-2=7$   [Transposing $-2$ to R.H.S]We get,$x=7+2$$x=9$.The value of $x$ is $9$.

Solve the following equations.
\( y+3=10 \).

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:47:38

33 Views

Given:\( y+3=10 \).To do: We have to solve the given equation.Solution:$y+3=10$   [Transposing $3$ to R.H.S]We get,$y=10-3$$y=7$.The value of $y$ is $7$.

Solve the following equations.
\( 6=z+2 \).

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:47:38

43 Views

Given:\( 6=z+2 \).To do: We have to solve the given equation.Solution:$6=z+2$   [Transposing $2$ to L.H.S]We get,$6-2=z$$4=z$This implies$z=4$.The value of $z$ is $4$.

Solve the following equations.
\( \frac{3}{7}+x=\frac{17}{7} \).

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:47:38

92 Views

Given:$\frac{3}{7}+x=\frac{17}{7}$To do: We have to solve the given equation.Solution:$\frac{3}{7}+x=\frac{17}{7}$   [Transposing $\frac {3}{7}$ to R.H.S]We get,$x=\frac{17}{7}-\frac{3}{7}$$x=\frac{14}{7}$. $x=2$.The value of $x$ is $2$.

Solve the following equations.
\( 6 x=12 \).

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:47:38

36 Views

Given:\( 6 x=12 \).To do: We have to solve the given equation.Solution:$6 x=12$We get,$x=\frac{12}{6}$$x=2$.The value of $x$ is $2$.

Solve the following equations.
\( \frac{t}{5}=10 \).

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:47:38

62 Views

Given:\( \frac{t}{5}=10 \).To do: We have to solve the given equation.Solution:$\frac{t}{5}=10$We get,$t=5\times10$$t=50$. The value of $t$ is $50$.

Solve the following equations.
\( \frac{2 x}{3}=18 \).

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:47:38

27 Views

Given:\( \frac{2 x}{3}=18 \).To do: We have to solve the given equation.Solution:$\frac{2 x}{3}=18$We get,$2x=3\times18$$x=\frac{3\times18}{2}$$x=3\times9$$x=27$ The value of $x$ is $27$.

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