First, multiply the first equation by 2.
That turns the first equation into:
6x - 2y = 18
That way it can easily be added to the second equation:
6x - 2y = 16
x + 2y = 5
---------------
7x = 21
==========
As you can see, the y disappeared, which was the objective of this operation.
Now the equations can be solved easily:
7x = 21
x = 3
Insert x=3 in the original equation:
3*3 - y = 8
9 - y = 8
9 = 8 + y
y = 1
So the result is:
x = 3
y = 1
Answer:
130°
Step-by-step explanation:
angle TFM + angle MFD = 180° (being a linear pair)
or, 4m + 142° +2m + 56°= 180°
or, 6m= 180°- 198°
or, m= -18°/6
so, m= -3°
now, angle TFM = 4m +142°= -12°+142°= 130°
Answer:
36.5 inches
Step-by-step explanation:
Given
See attachment for the given data
Required
Which length is closest to 4.2lb
The given data is a linear dataset.
So, we start by calculating the slope (m)

Pick any two corresponding points from the table
So, we have:


So:




The linear equation is then calculated using:

This gives:

Open bracket


To get the length closest to 4.2lb,
we set 
Then solve for x
So, we have:


Collect like terms


Solve for x


The line will represent the graph of the equation y=2.5x-8.
The two points necessary to graph would be (2,-3) and (0,-8).
<h3>
What is the slope-intercept form?</h3>
The slope-intercept form is y=mx+c
If the line passes through (2,-3),
let us plugin and find c.
So we get,



So, The equation of the line is y=2.5x-8.
To learn more about the equation visit:
brainly.com/question/2972832
Answer:
The numbers are 2, 4, 6 and 8
Step-by-step explanation:
let the four numbers be x, y, z and l respectively
then:
x+y+z+l
(z+l)–6=4x
since they are all four consecutive even integers
then y=x+2
z=y+2=x+4
l=z+2=x+6
since (z+l)–6=4x
then ((x+4)+(x+6))–6=4x
2x+4=4x
4=4x–2x
4=2x
2=x