To solve this equation by elimination, what you would do is multiply one of the equations by -1, or distribute -1 to each term in the equation, any of the 2 equations. Then align the equations and add them together.
-(X + 3y = 3)
-X - 3y = -3
-X - 3y = -3
X + 6y = 3
__________
3y = 0
y = 0/3 = 0.
Now we can solve for x, by simply plugging the value of y into any of the 2 equations.
X + 6y = 3
X + 6(0) = 3
X + 0 = 3
X = 3.
The solution to your system of equations would be (3,0).
Check this by plugging in the point to the other equation and see if it is true.
X + 3y = 3
(3) + 3(0) = 3
3 + 0 = 3
3 = 3.
Thus it is the solution.
Answer:
c
Step-by-step explanation:
the formula is 
When we plug that in we get 
Hope this helps!
Answer:
y=-2/3x-1
Step-by-step explanation:
Total students 5+16+42+22+5 = 90
0-1's probability is 5 / 90 = 5.5% about
2-3's probability is 16 / 90 = 17.7% about
4-5's probability is 42 / 60 = 46.6% about
6-7's probability is 22 / 90 = 24.4% about
8+'s probability is 5 / 90 = 5.5% about
(percentages not rounded, just cut off at the first decimal)
5x + 6y = 7 SUBSTITUTION METHOD
2x + 2y = 4
5x + 6y = 7 Solve for either x or y in 1 of the 2 equations.
- 6y - 6y
-----------------------
5x = -6y + 7
----- ------ ----
5 5 5
x = -6/5y + 7/5
2(-6/5y + 7/5) + 2y = 4 Substitute the expression you got for x or y into
-12/5y + 14/5 + 2y = 4 the other equation.
-2/5y + 14/5 = 4
- 14/5 - 14/5
------------------------------
-2/5y = 6/5
-------- --------
- 2/5y - 2/5y
y = -3
5x + 6(-3) = 7 Plug in the value you got for y in step 2 into the
5x - 18 = 7 equation that you didn't use.
+ 18 + 18
------------------
5x = 25
--- -----
5 5
x = 5
(x,y) ⇒ coordinate
(5,-3) ⇒ final answer
