find the soluton of 6x -2y =14 find the value of y when x = 14

Question

algebra linear equation

Answer 1

Hi Jeriko;

6x -2y =14

The solution of the equation is that it must be placed in the format of y=mx+b

m=slope, which is also known as the change in y-values divided by the change in x-values.

b= y-intercept.  This is the value of y when x=0

Therefore...

6x -2y =14

Let's subtract 6x from both sides...

-6x+6x-2y=14-6x

-2y=-6x+14

Let's divide both sides by -2 to completely isolate y...

-2y/-2=(-6x+14)/(-2)

y=3x-7

SOLVED!

 

Let's plug-in x=14

y=3(14)-7

y=42-7=35

 

Of course, you could have found the value of y without finding the solution of the original equation...

6x-2y=14, x=14

6(14)-2y=14

84-2y=14

Let's subtract 84 from both sides...

-84+84-2y=14-84

-2y=-70

Let's divide both sides by -2...

-2y/-2=-70/(-2)

y=35

Answer 2

the value of y in this  linear equation  when x is 14 is y=35