Answer:
x=1 y=1
Step-by-step explanation:
Let's use the elimination method.
3x+4y=7
2x-y = 1 (multiply both sides by 4)
8x-4y=4
3x+4y=7
(add both equations together)
11x=11
x=1
Plug x=1 into either of the equations
2(1) - y=1
2-y=1
2=1+y
y=1
The total number of articles is 14 and only 7 can be published. Since what is asked is the ways to assemble the 7 articles, this is a permutation problem.
14P7 = <span>17297280 ways
If order is not of concern, the problem is just a combination problem
14C7 = </span><span>3432 ways</span><span />
Answer:
Step-by-step explanation:
Given that
-3a+6b=a+4b
We want to make b subject of formula
First to remove the 4b in the Right hand side of the equation
Subtract 4b from both side of the equation
-3a+6b-4b=a+4b-4b
Then we have,
-3a+2b=a
Now to remove the -3a from the left hand side of the equation add 3a to both side
Then,
-3a+2b+3a=a+3a
2b-3a+3a=4a
Then, 2b=4a
Divide both side by 2
2b/2=4a/2
b=2a.
Answer:
After the reflection over the line y = -x, the image of the point is: (-3,-2)
Step-by-step explanation:
When a given point is reflected over a line the point only changes place but the distance between the point and the line remains same.
Let (x,y) be a point on the plane
and
y = -x be a line on the plane
When a point is reflected over a line y = -x , the coordinates of the point are exchanged which means x becomes y and y becomes x and both are negated
So (x,y) will become (-y,-x)
Given point is:
(2,3)
After the reflection over the line y = -x, the image of the point is: (-3,-2)