Answer:
equation 1
y = -2x
equation 2
y = x-3
Solution to both
(1,-2)
Step-by-step explanation:
We need to get the equations of both lines
General form is;
y = mx + c
where m is slope and c is the y-intercept
Table 1
since we have a point 0,0; the y-intercept here is zero
Let us get the slope. We can do this by selecting any two points
m = (y2-y1)/(x2-x1)
m = (2-10)/(-1+5) = -8/4 = -2
So the equation of the first line is;
y = -2x
Table 2
we get the slope
m = (4+2)/(7-1) = 6/6 = 1
The partial equation is;
y = x + c
To get c, we select any two point and substitute
4 = 7 + c
c = 4-7
c = -3
So the equation is;
y = x-3
To get the solution to both systems, we equate the y
-2x = x - 3
-2x-x = -3
-3x = -3
x = -3/-3
x = 1
To get y, we substitute;
recall; y = -2x
y = -2(1)
y = -2
Solution to the system is;
(1,-2)
The next step in the series will be Option B
<h3>What is a Series ?</h3>
A series is the sequence of object in pattern.
From the given figure it can be seen that the red and blue colour semicircle are shifting alternately , and the number series is increasing by 1
Therefore the next step is red on the right side , blue on the left side and no. 4 written on blue
Therefore Option B is the right answer.
To know about Series
brainly.com/question/15415793
#SPJ1
Using a system of equations, it is found that the correct option is:
A) 1389x+1660y=787x+1121y.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, considering the amounts in each olympics(1389 men and 787 women participated on the 19th, 1660 men and 1121 women in the 22th), the system is:
A) 1389x+1660y=787x+1121y.
More can be learned about a system of equations at brainly.com/question/24342899
Answer:
2m+2=16, then do the isolate m but doing the inverse operation of 2 which is now -2 and add that to 16 would be left with 2m=14 and 14/2 is 7 so m=7
Step-by-step explanation:
Answer:
Step-by-step explanation: Let x be the smaller and y be the largest number.
Since x+y=13, we deduce y=13-x
Now, for the translation: "two more than the larger number" is y+2 , while "twice the smaller" is 2x
Their sum is y+2+2x
And since we know that y=13-x, we have y+2+2x=13-x+2+2=15+x