4x - 26 = 2x - 4....subtract 2x from both sides
4x - 2x - 26 = -4...add 26 to both sides
4x - 2x = -4 + 26...combine terms
2x = 22...divide both sides by 2
x = 22/2 = 11
OR
4x - 26 = 2x - 4.....subtract 4x from both sides
-26 = 2x - 4x - 4....add 4 to both sides
-26 + 4 = 2x - 4x...combine terms
-22 = -2x....divide both sides by -2
-22/-2 = x
11 = x
Answer:
8
Step-by-step explanation:
Step-by-step explanation:
Let adults = a and children = c,
(1) a + c = 1100
(2) 48a + 23c = 45300
From the (1) equation, a = 1100 - c
Then substitute a = 1100 - c into (2),
48(1100 - c) + 23c = 45300
52800 - 48c +23c = 45300
-25c = -7500
c = 300
Substitute c = 1500 into a = 1100 - c,
a = 1100 - 300
a = 800
Therefore, 800 adults and 300 children bought the tickets
Answer :
The value of q for, the given quadratic equation is 40
Step-by-step explanation :
Given quadratic equation as :
x² - 14 x + q = 0
And , Difference between the roots of equation is 6
Let A , B be the roots of the equation
So, A - B = 6
The roots of the quadratic equation ax² + bx + c = 0 as can be find as :
x =
x =
or, x =
Or, x =
So , The roots are
A =
And B =
∵ The difference between the roots is 6
So, A - B = 6
Or, ( ) - ( ) = 6
Or, ( - 7 + 7 ) + 2 ( = 6
Or, 0 + 2 ( = 6
∴ 196 - 4 q = 36
or, 4 q = 196 - 36
or 4 q = 160
∴ q =
I.e q = 40
S0, The value of q = 40
Hence The value of q for, the given quadratic equation is 40 . Answer