X = -11 + 7y
5x + 2y = -18

x = -4

y = 1

(-4,1)

Step-by-step explanation:

x = -11 +7y

5x + 2y = -18

This is a Substitution problem, so you put x = -11+7y into 5x+2y = -18

5(-11 +7y)+2y = -18

5(-11) = -55

5(+7y) = 35y

-55+35y+2y = -18

Now you add 35y and 2y which gives you 37y

-55+37y = -18

Now you add +55 from -55 and -18

37y = 37

You divide each side by 37 so that y = 1

Now you plug y(1) into the equation x = -11+7y

x = -11+7(1)

-11+7 = -4

x = -4

this was already solved by me with a different person. if you look it up in the search bar at the top of the page, you will get the answer.

step-by-step explanation:

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!