Answer:
x= 22
y = 35
Step-by-step explanation:
The base angles of a isosceles triangle are equal
3x-11 = 2x+11
Subtract 2x from each side
3x-2x -11 = 2x-2x+11
x-11 = 11
Add 11 to each side
x-11+11 = 11+11
x = 22
The sum of all the angles in a triangle is 180
3x -11 + 2x+11 + 2y = 180
Combine like terms
5x +2y = 180
5*22 + 2y = 180
110 + 2y = 180
Subtract 110 from each side
110+2y-110 = 180-110
2y = 70
Divide by 2
2y/2 =70/2
y = 35
Answer:
x - 9
Step-by-step explanation:
(f ÷ g)(x) = f(x) ÷ g(x), that is
← factorise the numerator
= 
← cancel the common factor (x - 10) on numerator/denominator
= x - 9
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Answer:
(1, -9)
Step-by-step explanation:
4x + y = -5
8x + 3y = -19
If we have to use elimination, that means we're going to add or subtract these two whole equations by each other so that we can cancel out one of the variables.
I think that we could easily turn 4x into 8x if we multiply the top equation by 2.
4x + y = -5 ---> 8x + 2y = -10
Now put them next to each other, and subtract to get rid of the xs.
8x + 2y = -10
- 8x + 3y = -19
------------------------
0x - y = -10 - -19
-y = 9
y = -9
Plug this back in to get x.
4x + y = -5
4x - 9 = -5
4x = -5 - -9
4x = 4
x = 1
Answer: A dependent system of equations
Step-by-step explanation: A dependent system of equations is when the same line is written in two different forms so that there are infinite solutions. These two situations occur when trying to solve for a system of equations. ... First a system of equations is called Inconsistent if there is no solution because the lines are parallel.
