3/5x + 1/3 =42 solve for x

9514 1404 393

  x = 69 4/9

Step-by-step explanation:

There are a couple of approaches you can take to this. The usual one would be to "clear fractions" by multiplying by 15.

  15(3/5x) +15(1/3) = 15(42)

  9x +5 = 630

Now, we can subtract 5 and divide by 9.

  9x = 625 . . . . subtract 5 from both sides

  x = 625/9 = 69 4/9

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Another way to solve this is to multiply by 5/3 to make the coefficient of x be 1.

  (5/3)(3/5x) +(5/3)(1/3) = (5/3)(42)

  x +5/9 = 70

Now, we can subtract 5/9 from both sides.

  x = 69 4/9

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Working it in the usual "two-step equation" manner, you would subtract 1/3 first, then multiply by 5/3. IMO, this is messier, as you have ...

  (5/3)(3/5x) = (5/3)(41 2/3)

  x = (5/3)(125/3) = 625/9 = 69 4/9

y = - x - 2

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 )

y = - + 6 ← is in slope- intercept form

with slope m = -

Parallel lines have equal slopes, thus

slope of parallel line = -

The line crosses the y- axis at (0, - 2) ⇒ c = - 2

y = - x - 2 ← equation of parallel line