7) If 9/2q = 10 - 8/q
find the value of q.
Answers
Answer:
I hope you get answer
Step-by-step explanation:
The value of p = -1 and q = 2
Given:
4x+5y=2
(2p+7q)x + (p+8q)y = 2q-p+1
Solution:
If the equations have many solution, then \frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}} \ldots
a
2
a
1
=
b
2
b
1
=
c
2
c
1
… .
From the equation,
a_{1}=4a
1
=4
b_{1}=5b
1
=5
c_{1}=2c
1
=2
a_{2}=(2 p+7 q)a
2
=(2p+7q)
b_{2}=(p+8 q)b
2
=(p+8q)
c_{2}=2 q-p+1c
2
=2q−p+1
Thus,
\Rightarrow \frac{4}{2 p+7 q}=\frac{5}{p+8 q}=\frac{2}{2 q-p+1}⇒
2p+7q
4
=
p+8q
5
=
2q−p+1
2
So,
Taking the first two equations, we get it,
10p+35q=4p+32q
\Rightarrow 6p+3q=0
\Rightarrow 2p+q=0
Above the equation is multiplied by 6,
12p+6q=0 \rightarrow (1)12p+6q=0→(1)
Now, we take the second and third and equate them, we will get it answer:-
2p+16q = 10q-5p+5
\Rightarrow 7p+6q=5 \rightarrow (2)⇒7p+6q=5→(2)
On solving, equation (1) and (2), we get,
p = -1; q = 2
Answer:
9/2q =10 - 8/q
9/2q + 8/q =10
(9 + 16 )/2 q = 10
25/2 q = 10
q = 10/1 × 2/25
q = 4/5
here your answer
I am not sure
and if it is correct please mark me as brainliest