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Solve the following equations and check your results.
\( 5 t-3=3 t-5 \).

Tutorialspoint
Updated on 10-Oct-2022 13:47:38
Given:\( 5 t-3=3 t-5 \).To do: We have to solve the given equation and check the result.Solution:$5t-3=3t-5$$5t-3t=-5+3$$2t=-2$$t=\frac{-2}{2}$$t=-1$Substituting the value of $t$ in LHS, we get,$5t-3=5(-1)-3$$=-5-3$$=-8$Substituting the value of $t$ in RHS, we get,$3t-5=3(-1)-5$$=-3-5$$=-8$LHS $=$ RHSThe value of $t$ is $-1$. 

Solve the following equations and check your results.
\( 3 x=2 x+18 \).

Tutorialspoint
Updated on 10-Oct-2022 13:47:38
Given:\( 3 x=2 x+18 \).To do: We have to solve the given equation and check the result.Solution:$3x=2x+18$$3x-2x=18$$x=18$Substituting the value of $x$ in LHS, we get,$3x=3(18)$$=54$Substituting the value of $x$ in RHS, we get,$2x+18=2(18)+18$$=36+18$$=54$LHS $=$ RHSThe value of $x$ is $18$.

Solve the following equations.
\( \frac{x}{3}+1=\frac{7}{15} \).

Tutorialspoint
Updated on 10-Oct-2022 13:47:38
Given:\( \frac{x}{3}+1=\frac{7}{15} \).To do: We have to solve the given equation.Solution:$\frac{x}{3}+1=\frac{7}{15}$We get,$\frac{x}{3}=\frac{7}{15}-1$$\frac{x}{3}=\frac{7-15}{15}$$\frac{x}{3}=\frac{-8}{15}$$x=\frac{-8\times3}{15}$$x=\frac{-8}{5}$The value of $x$ is $\frac{-8}{5}$.

Solve the following equations.
\( 17+6 p=9 \).

Tutorialspoint
Updated on 10-Oct-2022 13:47:38
Given:\( 17+6 p=9 \).To do: We have to solve the given equation.Solution:$17+6 p=9$We get,$6p=9-17$$6p=-6$$p=\frac{-6}{6}$$p=-1$The value of $p$ is $-1$.

Solve the following equations.
\( 14 y-8=13 \).

Tutorialspoint
Updated on 10-Oct-2022 13:47:38
Given:\( 14 y-8=13 \).To do: We have to solve the given equation.Solution:$14 y-8=13$We get,$14y=13+8$$14y=21$$y=\frac{21}{14}$$y=\frac{3}{2}$The value of $y$ is $\frac{3}{2}$.

Solve the following equations.
\( 7 x-9=16 \).

Tutorialspoint
Updated on 10-Oct-2022 13:47:38
Given:\( 7 x-9=16 \).To do: We have to solve the given equation.Solution:$7 x-9=16$We get,$7x=16+9$$7x=25$$x=\frac{25}{7}$The value of $x$ is $\frac{25}{7}$.

Solve the following equations.
\( 1.6=\frac{y}{1.5} \).

Tutorialspoint
Updated on 10-Oct-2022 13:47:38
Given:\( 1.6=\frac{y}{1.5} \).To do: We have to solve the given equation.Solution:$1.6=\frac{y}{1.5}$We get,$y=1.6\times1.5$$y=2.4$The value of $y$ is $2.4$.

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

Tutorialspoint
Updated on 10-Oct-2022 13:47:38
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 $27$.

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

Tutorialspoint
Updated on 10-Oct-2022 13:47:38
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.
\( 6 x=12 \).

Tutorialspoint
Updated on 10-Oct-2022 13:47:38
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 $2$.
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