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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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Answer:

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Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 3, - 38) and (x₂, y₂ ) = (8, 61)

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To find c substitute either of the 2 points into the partial equation

Using (8, 61), then

61 = 72 + c ⇒ c = 61 - 72 = - 11

y = 9x - 11 ← equation of lie

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