In order to have infinitely many solutions with linear equations/functions, the two equations have to be the same;
In accordance, we can say:
(2p + 7q)x = 4x [1]
(p + 8q)y = 5y [2]
2q - p + 1 = 2 [3]
All we have to do is choose two equations and solve them simultaneously (The simplest ones for what I'm doing and hence the ones I'm going to use are [3] and [2]):
Rearrange in terms of p:
p + 8q = 5 [2]
p = 5 - 8q [2]
p + 2 = 2q + 1 [3]
p = 2q - 1 [3]
Now equate rearranged [2] and [3] and solve for q:
5 - 8q = 2q - 1
10q = 6
q = 6/10 = 3/5 = 0.6
Now, substitute q-value into rearranges equations [2] or [3] to get p:
p = 2(3/5) - 1
p = 6/5 - 1
p = 1/5 = 0.2
Answer:
23
Step-by-step explanation:
-26-(-49)=-26+49=23
Answer: 3/20 of the class
Step-by-step explanation:
Add the amount of students that play soccer to amount of students that play volleyball
1/4 + 3/5 = 17/20
Subtract 17/20 (soccer and volley ball) from 20/20 or 1
20/20 - 17/20 = 3/20
Answer:
Step-by-step explanation:
A)
<u>According to dimensions of the garage, the scale is:</u>
- 1 in : 20 ft, as the width of the garage is 20 ft and on paper is 1 in
B)
Living room
<u>Dimensions on paper: </u>
C)
<u>Actual dimensions: </u>
- 2*20 ft = 40 ft and
- 1 1/4 * 20 ft = 25 ft
D)
<u>The area of the living room:</u>
- A = lw = 25*40 = 1000 ft²
<u>Cost of carpet:</u>
Answer:
By solving the equation 
we found that 
<u>Explanation: </u>
Given equation,
to find x
Step: 1 Cross multiply the denominators 2(x-5)=6(x+6)
Step: 2 Open brackets and simplify the term 2x-10=6x+36
Step: 3 Bring x terms on one side and simplify the equation the equation obtained is following,
2x-6x=36+10
-4x=46
Therefore, we solved x value from the given equation as .
