Answer:
10.5
Step-by-step explanation:
Answer : The correct option is (A) 68.
Step-by-step explanation :
As we are given that:
LN = 6x - 5
LM = x + 7
MN = 3x + 20
Now we have to determine the value of MN.
According to the question:
LN = LM + MN
Now putting all the given values in this expression, we get:
6x - 5 = (x + 7) + (3x + 20)
6x - 5 = 4x + 27
6x - 4x = 27 + 5
2x = 32
x = 16
The value of MN = 3x + 20 = 3(16) + 20 = 48 + 20 = 68
Therefore, the value of MN is 68.
If you want to check if (1,2) is a solution to the system, you have to plug the x and y values back into both equations. If they work for one equation, but not the other, than the coordinates are not a solution to the system.
3(1) - 4(2) = -5
3 - 8 = -5
-5 = -5
2 = 4(1) - 2
2 = 4 - 2
2 = 2
Since both of these checks are true, then (1,2) is a solution to the system.
Answer:
see explanation :)
Step-by-step explanation:
y
=
−
x
−
4
is in the slope-intercept form for a linear equation,
y
=
m
x
+
b
, where m is the slope and b is the y-intercept. In the given equation,
m
=
−
1 and b
=
−
4
.
Ordered Pairs
x
...
...
.
.
y
4
...
.
−
8
2
...
.
−
6
0
...
.
−
4
−
2
.
...−
2
−
4
...
.
.
0
