Solve for x: 27=17+2x

Mathematics

2 answers:

slava [35]2 years ago

7 0

Hello!

Here's how to solve for x.

27=17+2x

Our first step is to subtract 17 from both sides, leaving us with

27-17=17(-17)+2x --- > 10=2x

We then divide both sides by 2 to isolate x!

10/2=2x/2

10 divided by 2 gives us 5 meaning that x=5

EastWind [94]2 years ago

6 0

$x = 5$
move variable to left side and change its sign
$27 = 17 + 2x$
to
(you also move the constant to the right and change its sign)
$- 2x = 17 - 27$
and then calculate the operation in this case you find the difference
$- 2x= 17 - 27 = - 10 \\ - 2x = - 10$
you then divide both sides of the equation by -2 since the inverse operation of multiplying is division
$x = 5$
:) hope that helps

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const2013 [10]

is the same thing here as the other triangles, the triangle below is an equilateral, the one above is an isosceles.

the vertex of the isosceles is 40°, so the twins angle at the base are (180 - 40)/2 = 70° = x each.

since the sides in the equilateral are all the same length, then 2y + 10 = x - y, but we already know what "x" is, so

$\bf 2y+10=x-y\implies 2y+10=\stackrel{x}{70}-y\implies 3y=60 \\\\\\ y=\cfrac{60}{3}\implies y=20$