3x -1 = 11
3x = 11 + 1
3x = 12
x = 4
I take it by, x2 + x, you mean 2x + x, since x = 4, then
2x + x = 2(4) + (4) = 8 + 4 =12
Get running mate I believe you may have heart disease in the near future but good luck and try not to eat any more people
Start by writing the system down, I will use 
to represent 
Substitute the fact that 
into the first equation to get,
Simplify into a quadratic form (
),
Now you can use Vieta's rule which states that any quadratic equation can be written in the following form,
which then must factor into
And the solutions will be 
.
Clearly for small coefficients like ours 
, this is very easy to figure out. To get 5 and 6 we simply say that 
.
This fits the definition as 
and 
.
So as mentioned, solutions will equal to but these are just x-values in the solution pairs of a form 
.
To get y-values we must substitute 3 for x in the original equation and then also 2 for x in the original equation. Luckily we already know that substituting either of the two numbers yields a zero.
So the solution pairs are 
and 
.
Hope this helps :)
Answer:
The answer to your question is: y ≥ - x + 6 and y ≥ x - 4
Step-by-step explanation:
Look of a pairs of points for each graph
Line 1 Line 2
A(0, 6) B (5, 1) C (7,3) D(5, 1)
m = (1- 6) / (5- 0) m = (1 - 3) / (5 - 7)
m = -5/5 = -1 m = -2 / -2 = 1
Find the line equation for each slope (y - y1) = m (x - x1)
(y - 1) = -1 (x - 5) (y - 1) = 1 (x - 5)
y - 1 = -x + 5 y -1 = x - 5
y = -x + 5 + 1 y = x - 5 + 1
y = -x + 6 y = x - 4
Inequality
y ≥ - x + 6 y ≥ x - 4
