7times a number equals 36 more than a number find the number

step-by-step explanation:

"a number" is the variable (we'll use x here).  so every time the problem says "a number," we'll plug an x in.

now we have: 7 times x equals 36 more than x.  find x.

we can simplify that st8ment^^ by removing the words and replacing them with symbols: 7x = 36 + x.

now for the hard part.  

we have 7x = 36 + x.  we can subtract the one x from the right side of the equation bc there's still the 36 there, but whatever we do to one side of the equation, we have to do to the other side, so we have to subtract an x from the left side, too.  so the equation should look like this now: 6x = 36.

we want to get the x by itself to find out what it equals, so we can divide 6x by 6 to get 1x.  remember that what we do to one side has to be done to the other side, so we'll divide 36 by 6 as well, which leaves us with 1x = 6.  

so the answer to the equation is: x = 6

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9

a.for lorena 14 hours makes $126   for 16 hours she makes 144

for julie 6 hours makes $72 for 21 hours its $252

b. julie makes more money than lorena julie makes $12 an hour and lorena makes $9  

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