Solve for x. show each step of the solution. convert to decimal form.
2.3(6-x)+22=96-2.3(2x+12)

13.8-2.3x+22=96-4.6x-27.6

-2.3x+35.8=-4.6x+68.4

2.3x + 35.8= 68.4

2.3x = 32.6

x = 14.17

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.

this is a good question! i'll do some research and come back when i have the answer!