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bazaltina [42]
3 years ago
11

Determine the value of x in the equation x+5x=5x+7

Mathematics
1 answer:
12345 [234]3 years ago
6 0

\text{Hey there!}

\mathsf{Determine\ the\ value\ of\ x\ in\ the\ equation\ x+5x=5x+7.}

\mathsf{SIMPLIFY\ both\ sides\ of\ your\ equation}

\mathsf{x+5x=5x+7}

\mathsf{COMBINE\ your\ like\ terms}

\mathsf{(x+5x)=(5x+7)}

\mathsf{The\ RIGHT\ side\ DOES\  NOT\ have\ any\ like\ terms\ so\ we\ can}\\\mathsf{can\ leave\ alone}

\mathsf{x+5x= 6x}

\mathsf{Your\ new\ equation: 6x=5x+7}

\mathsf{SUBTRACT\ by\ 5x\ on\ your\ sides}

\mathsf{6x-5x}\\\mathsf{=}\\\mathsf{7-5x}

\mathsf{SOLVE\ your\ equation\ above\uparrow}

\mathsf{If\ you\ SOLVED\ correctly\ you\ SHOULD\ have\ the\ VALUE\ of\ x}

\boxed{\boxed{\mathsf{Thus\ your\ answer\ is\ x=7}}}\checkmark

\text{Good luck on your assignment and enjoy your day!}

~\dfrac{\frak{LoveYourselfFirst}}{:)}

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Vera_Pavlovna [14]

Answer:

x = 14      D

Step-by-step explanation:

(18x + 36) / 3 = 6x + 12

6x + 12 = -16 + 8x

-6x .                -6x

12 = -16 + 2x

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3 years ago
Behind my math class help pls
vladimir2022 [97]

Answer:

Please check the explanation.

Step-by-step explanation:

Part a)

Given that the two parallel lines are crossed by a transversal line.

Given that

m∠2 = 2x + 54 and m∠6 = 6x - 11

Angle ∠2 and ∠6 are corresponding angles.

Corresponding angles are congruent.

Thus,

m∠2 = m∠6

2x + 54 = 6x - 11

flipe the equation

6x - 11 = 2x + 54

subtract 2x from both sides

6x - 2x - 11 = 2x - 2x + 54

4x - 11 = 54

adding 11 to both sides

4x - 11 + 11 = 54 + 11

4x = 65

dvide both sides by 4

4x/4 = 65/4

x = 16.2500    (round to 4 decimal places)

Part b)

We have already determined

x = 16.2500

Given

m∠2 = 2x + 54

substitute x = 16.2500 in the euation

        = 2(16.2500) + 54

        = 86.5°

As angle ∠2 and angle ∠1 lie on a straight line. Hence, the sum of their angles must be 180°.

i.e.

m∠1 + m∠2 = 180°

substituting m∠2 =  86.5° in the equation

m∠1 + 86.5°  = 180°

subtracting 86.5° from both sides

m∠1 + 86.5° - 86.5° = 180° - 86.5°

m∠1 = 93.5°

Therefore, the measure of angle m∠1 is:

  • m∠1 = 93.5°
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