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3 years ago

Which of the following equations has the same solution as 3x-5=5x+11?

2 answers:

4 0

3x-5=5x+11

subtract 3x to both sides

3x-5 - 3x =5x+11 - 3x

simplify
-5 = 2x +11

answer is D. -5=2x+11

goldenfox [79]3 years ago

3 0

The equation that matches the same solution as $3x-5=5x+11$ is $\boxed{{\mathbf{Option D}}\to{\mathbf{-5=2x+11}}}$ .

Further explanation:

The expression is given as $3x-5=5x+11$ .

Now, the above expression is simplified as follows:

$\begin{aligned}3x-5x&=11+5\\-2x&=16\\x&=-\frac{{16}}{2}\\x&=-8\\\end{aligned}$

Therefore, the value of $x$ for the given expression is $-8$ .

Now, the four options are given below.

$\begin{gathered}{\text{OPTION A}}\to2x-5=11\hfill\\{\text{OPTION B}}\to3x=5x+6\hfill\\{\text{OPTION C}}\to3x+6=5x\hfill\\{\text{OPTION D}}\to-5=2x+11\hfill\\\end{gathered}$

The simplified form of OPTION A $2x-5=11$ is given below.

$\begin{aligned}2x-5&=11\\2x&=11+6\\2x&=17\\x&=\frac{{17}}{2}\\x&=8.5\\\end{aligned}$

The above solution $x=8.5$ of the expression $2x-5=11$ does not match with the obtained solution $x=-8$ .

Therefore, OPTION A is not the correct answer.

The simplified form of OPTION B $3x=5x+6$ is given below.

$\begin{aligned}3x&=5x+6\\3x-5x&=6\\-2x&=6\\x&=-3\\\end{aligned}$

The above solution $x=-3$ of the expression $3x=5x+6$ does not match with the obtained solution $x=-8$ .

Therefore, OPTION B is not the correct answer.

The simplified form of OPTION C $3x+6=5x$ is given below.

$\begin{aligned}3x+6&=5x\\3x-5x&=-6\\-2x&=-6\\x&=3\\\end{aligned}$

The above solution $x=3$ of the expression $3x+6=5x$ does not match with the obtained solution $x=-8$ .

Therefore, OPTION C is not the correct answer.

The simplified form of OPTION D $-5=2x+11$ is given below.

$\begin{aligned}-5&=2x+11\\-5-11&=2x\\-\frac{{16}}{2}&=x\\x&=-8\\\end{aligned}$

The above solution $x=-8$ of the expression $-5=2x+11$ matches with the obtained solution $x=-8$ .

Therefore, OPTION D is the correct answer.

Thus, the equation that matches the same solution as $3x-5=5x+11$ is $\boxed{{\mathbf{Option D}}\to{\mathbf{-5=2x+11}}}$ .

Learn more:

1. Which expression is equivalent to ? brainly.com/question/3658196

2. What are the values of x? brainly.com/question/2093003

3. Which expression is a sum of cubes? brainly.com/question/4102355

Answer Details:

Grade: Junior High School

Subject: Mathematics

Chapter: Linear equations

Keywords: expression, equivalent, match, options, $3x-5=5x+11$ , $-5x=2x+11$ , equation of line.

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3 years ago

In the diagram, what is mAngleVSR?

katovenus [111]

The mAngleVSR m Angle VSR is mathematically given as

$\theta$ = 80°

This is further explained below.

<h3>What is mAngleVSR?</h3>

Generally, Draw two lines: one that connects the points R, S, and U, and another that connects the points V, S, and T. (see attached diagram). At point S, these lines come together to create four angles, which are denoted by the letters RSV, VSU, UST, and TSR respectively.

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