1. First distribute your numbers (which is done in step #2.)

so 8x+12=68

Now subtract 12 from both sides of your equal sign to move the numbers all to the left side.

You get 8x=56

Now divide both sides by 8.

x=7

**Answer:**

y = 4x

**Step-by-step explanation:**

**Answer:**

area of the square = (SIDE)2

=( 4)^2

= 16 answer

**Answer:**

x=48

**Step-by-step explanation:**

(x-10)÷2=19

<u>x</u><u>-</u><u>1</u><u>0</u> =19

2

<u>(</u><u>x</u><u>-</u><u>1</u><u>0</u><u>)</u><u>×</u><u>2</u> =19×2

2

x-10=19×2

x-10=38

x=38+10

x=48

Given parameters:

Equation of the line given 2x - 7y = 13

Coordinates of points = -3, 8

Unknown:

Equation of a line perpendicular = ?

Solution;

To find the equation of this line, simply find the negative inverse of the given line.

m =

2x - 7y = 13 , this is an equation of a straight line

let us write it in the form y = mx + c so as to derive the slope

y and x are coordinates

m is the slope

c is the y intercept

2x - 7y = 13;

-7y = -2x + 13

divide through by -7;

y = +

The slope of this line is ;

Now the slope of a line perpendicular to it will be ;

the equation of the line will be;

y =

Since the coordinate of this line is (-3,8) , let us find C;

y = 8 and x = -3;

8 = (-3) + C

multiply through by 2;

16 = 21 + 2C

16 - 21 = 2C

-5 = 2C

C =

**Now the equation of the line is; **

y =