Answer:
(3, 2) is the ordered pair for the given system of equations.
Step-by-step explanation:
Given:
2 x+ y = 8.......................(i)
y = - x + 5........................(ii)
<u>Put y = - x + 5 in equation (i)-</u>
<em>2 x + ( - x+ 5) = 8</em>
<em>2 x - x + 5 = 8</em>
<em>x = 8 - 5</em>
<em>x = 3</em>
<u>Now put x = 3 in equation (ii)-</u>
<em>y = - 3 + 5</em>
<em>y = 2</em>
Hence the (3, 2) is the correct ordered pair.
Answer:
, graph is there for reference.
Step-by-step explanation:
Given,
is the number of math problem Lucy solved.
is the number of pages she read.
She can do each math problem in 
minutes, therefore she can solve number of questions into 
minutes.
She can read each page in 
minutes, therefore she can read pages in 2.5y minutes.
As per given detail,
equation 1.
And,
It is given that number of math problems Lucy solved is 3 times the number of pages she read.
equation 2.
We need to find and intercept of each of the equation to graph them.
For 
put y=0
We will get 
Thus the point is 
Let us find 
by assuming 
we get 
Thus the point is 
Join these two points.
Similarly considering the other equation
Here x-intercept would be at 
We will get
Thus the point is 
Let us assume on more point, say 
, we get 
Thus the point is 
Join these two points.
We will get a point of intersection at 
Thus 
and 
Take your y axis and the number through it (6) then ur x axis (5) then find the constant if them then add that then there is ur answer
Answer:y=200 students
Step-by-step explanation:Let x = the number of adult tickets sold
Let y = the number of student tickets sold
x + y = 375 x = 375 - y
7.50x + 4.50y = 2212.50 Multiply both sides of this equation by 10 to remove the decimal points.
75x + 45y = 22,125
75(375-y) + 45y = 22,125
28,125 - 75y + 45y = 22,125
-30y = -6000
y = 200 student tickets
