What is the solution to the following system of equations
1 answer:
You might be interested in
First we are going to express both equation in terms of 
to compare their slopes:
For our first equation:
For our second equation:
So now we have our system of equations in terms of y:
Notice that the slope, the coefficient of
, in both equations is the same: 1, and if tow linear equations have the same slope, they are parallel.
We can conclude that we can classify the system of equations as parallel.
For our first equation:
For our second equation:
So now we have our system of equations in terms of y:
Notice that the slope, the coefficient of
We can conclude that we can classify the system of equations as parallel.
Answer:
Step-by-step explanation:
1). Since, both the angles are vertically opposite angles,
Measure of both the angles will be same.
6x = 30
x = 5
2). Since, both the angles are the linear pair of angles,
(4 + 5x)° + (x + 2)° = 180°
6x + 6 = 180
6x = 180 - 6
x =
x = 29
Therefore, (4 + 5x)° = 4 + 5(29)
= 149°
And (x + 2)° = (29 + 2)
= 31°
3). Since, both the angles are linear pair of angles,
5x° + (3x + 12)° = 180°
8x + 12 = 180
8x = 180 - 12
x =
x = 21
Therefore, 5x° = 5(21)
= 105°
(3x + 12)° = 3(21) + 12
= 75°