Question

Find the value of x when y=14. y= -6x+5

Answer 1

Hello!

In order to find the value of x, we should take the value of y and plug it in and then simplify.

`\bold{y=-6x+5}`

Plug in:

`\bold{14=-6x+5}`

Switch places:

`\bold{-6x+5=14}`

Now, subtract 5 from both sides:

`\bold{-6x=14-5}`

`\bold{-6x=9}`

Divide both sides by -6 in order to isolate x:

`\bold{x=-\displaystyle(9)/(6)}`

Can this fraction be reduced? Sure, we can divide the numerator (9) and the denominator (6) by 3:

`\bold{-\displaystyle(3)/(2)}`

As a Mixed Fraction:

`\bold{1\displaystyle(1)/(2)}`

Hence, the value of x is:

`\huge\boxed{\boxed{\mathfrak{\star{Answer:{\boxed{-(3)/(2) }}}}}}`

Hope everything is clear.

Let me know if you have any questions!

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`\rm{A~teen~who~never~gives~up}`

Answer 2

x = -3/2

Explanation:

To find the unknown value, substitute all known values and solve for the one remaining. After substitution, this becomes a 2-step linear equation, so is solved by the procedure for such equations.

y = -6x +5 . . . . . given

14 = -6x +5 . . . . substitute known value

9 = -6x . . . . . . . subtract 5 (step 1)

9/-6 = x = -3/2 . . . . divide by the coefficient of x (step 2);