How do I solve this Algebra problem?

Question

The lesson that I am learning is: Solve Linear Systems by Adding or Subtracting and I am having some trouble with problem #20
Here it is:
11y-3x=18
-3x= -16y+33


I am getting like a decimal. Any help would be great thanks!

Answer 1

reorganize and solve
-3x=-16y+33 becomes 16y -3x = 33

subtract second from first to change sign

11y-3x = 18
16y-3x = 33 subtract
_______________
-5y = -15
y = -15/-5 = 3

substitute back into the equations

-3X = -16(3) + 33
-3X = -48 + 33
-3x = -15
x = 5

check 11(3) - 3(5) = 18
33 -15 = 18
18 = 18

-3(5) = - 16(3) + 33
-15 = -48 + 33 = -15

Answer 2

sorry dude but im in pre-algebra but ill get my teacher to help out

Answer 3

11y-3(-16y+33)=18

Answer 4

STEP 1:
make the second equation equal to x. so you should end up with "x= and whatever it is"

STEP 2:
get what you get equals X and substitute the X in the top equation with it

STEP3:
Once you get Y by doing the previous step, substitute the Y in the bottom equation with what Y equals from the top equation

Answer 5

-3x + 11y = 18
3x - 16y = -33

add both sides

-5y = -15
y = 3

-3x + 11(3) = 18
-3x = 18 - 33
-3x = -15
x = 5

Answer 6

11y-3x=18
or
-3x = -11y+18

-3x= -16y+33

Now

-11y+18 = -16y+33

5y = 15

y = 3

Substitute:

x = 5

Answer 7

The answer definitely does not include decimals. Here is how you do it:

Given:
11y - 3x = 18
-3x = -16y + 33

First, write both of these equations so that the variables line up with each other.
-3x + 11y = 18
-3x + 16y = 33

Multiply the first one by -1.
-1(-3x + 11y) = -1(18)
-1(-3x + 11y) = -18

Distribute.
-1(-3x) - 1(11y) = -18
3x - 11y = -18

Your two equations are now.
3x - 11y = -18
-3x + 16y = 33

Add them together.
3x - 11y = -18
-3x + 16y = 33
------------------------------------
5y = 15

Divide both sides by 5.
5y / 5 = 15 / 5
y = 3

Plug this back into one of the equations and solve for x.
-3x = -16y + 33
-3x = -16(3) + 33
-3x = -48 + 33
-3x = -15
-3x / -3 = -15 / -3
x = 5

ANSWER: (5, 3)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

CHECK:

You can always check your answer by plugging in the values you found back into the original equations to find out if both sides equal each other.

11y - 3x = 18
11(3) - 3(5) = 18?
33 - 15 = 18?
18 = 18?
true

-3x = -16y + 33
-3(5) = -16(3) + 33?
-15 = -48 + 33?
-15 = -15?
true

Answer 8

Well the equation for a slope is y=mx+b. so first off get it to this point by rearranging the equation. b is the plain old number. nothing special about it. the mx part is the x and the m which is the coefficient. so for example 5x would = mx because the 5 is the coefficient. and y is...y. So for the first one you add 3x to both sides and you get 11y=3x+18. Hope I could help.

Answer 9

OK. You first want to solve for a variable in the first equation. Either X or Y. You get everything on one side equal to That variable. Then plug it into the 2nd equation. Whatever was on the other side you will plug into the variable you solved for. There should only be one variable in your equation. Then you solve for that variable. Then plug that into the original first equation.

Answer 10

11y-3x=18
16y-3x=33

11y-3x=18
-16y+3x=-33
--------------------
-5y=-15
y=3

if y=3 then x=5
33-3x=18
-3x=-15
x=5