# Solve the equation. Check your solution. 8t + 5 = 6t + 1 Question
Equations Solve the equation. Check your solution. $$8t + 5 = 6t + 1$$ 2021-02-27
Subtract 6t from each side of the equation. Subtraction Property of Equality
$$8t+5-6t=6t+1-6t$$
Simplify
$$2t+5=1$$
Subtract 5 from each side of the equation. Subtraction Property of Equality
$$2t+5-5=1-5$$
Simplify
$$2t=-4$$
Divide each side of the equation by 2. Division Property of Equality
$$\frac{2}{2}*t=\frac{-4}{2}$$
Simplify
$$t=-2$$
Check solution
$$8(-2)+5=6(-2)+1$$
$$-16+5=-12+1$$
$$-11=-11$$

### Relevant Questions Solve the following system of equations. (Write your answers as a comma-separated list. If there are infinitely many solutions, write a parametric solution using t and or s. If there is no solution, write NONE.)
$$\displaystyle{x}_{{1}}+{2}{x}_{{2}}+{6}{x}_{{3}}={6}$$
$$\displaystyle{x}_{{1}}+{x}_{{2}}+{3}{x}_{{3}}={3}$$
$$\displaystyle{\left({x}_{{1}},{x}_{{2}},{x}_{{3}}\right)}=$$? Which of the following equations have the same solution set? Give reasons for your answers that do not depend on solving the equations.
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lV.$$6x-16=14x+12$$
V.$$9x+21=3x-15$$
Vl.$$-0.05+\frac{x}{100}=3\frac{x}{100}+0.07$$ Use the​ Gauss-Jordan method to solve the system of equations. If the system has infinitely many​ solutions, give the solution with z arbitrary.
x-5y+2z=1
3x-4y+2z=-1 Determine whether the ordered pair is a solution to the given system of linear equations.
1.(5,3) $$\displaystyle{\left\lbrace\begin{array}{c} {x}-{y}={2}\\{x}+{y}={8}\end{array}\right.}\rbrace$$ Solve the following system of equations.
$$\displaystyle{2}{x}-\frac{{1}}{{5}}{y}=\frac{{4}}{{5}}$$
$$\displaystyle\frac{{1}}{{3}}{x}-\frac{{1}}{{2}}{y}=-{12}$$
x-?
y-? Consider the following system of llinear equations.
$$\displaystyle\frac{{1}}{{3}}{x}+{y}=\frac{{5}}{{4}}$$
$$\displaystyle\frac{{2}}{{3}}{x}-\frac{{4}}{{3}}{y}=\frac{{5}}{{3}}$$
Part A: $$\displaystyle\frac{{{W}\hat{\propto}{e}{r}{t}{y}}}{{\propto{e}{r}{t}{i}{e}{s}}}$$ can be used to write an equivalent system?
Part B: Write an equivalent system and use elimination method to solve for x and y. Solve $$\displaystyle{\left|{\ln{{\left({x}+{3}\right)}}}\right|}={1}$$. Give your answers in exact form.   