Answer:
x = 5/7
Step-by-step explanation:
Here, we want to get the value of x
Firstly, according to indices;
(a^m)^n = a^(m * n) = a^mn
Also;
a^m * a*n = a^(m + n)
a^0 = 1 (any number raised to zero as its power is 1)
And lastly;
a^m divided by a^n = a^(m-n)
So using these we can have;
7^4x = 7^( 2 + 3)/7^3x
7^4x = 7^5/7^3x
7^4x = 7^(5-3x)
Since we have the same bases, we have to equate the powers
4x = 5-3x
4x + 3x = 5
7x = 5
x = 5/7
This is just a line there are infinitely many solutions or points...for every value of x there is a value for y which is three times x. Pick any x solve for y and that is one of the infinite number of ordered pairs produced by the equation.
y=3x (0,0),(1,3),(2,6),(3,9).....................
Answer:
x = -1
Step-by-step explanation:
-2x + 8 = 10
-2x = 2
x = -1
Answer:
Step-by-step explanation:
Let the number of dimes be d and quarters be q
<u>The value is $8.80 = 880¢, so:</u>
- 10d + 25q = 880 ⇒ 2d + 5q = 176
<u>If the dimes were quarters and the quarters were dimes, the coins' total value would be $7.30 or 730¢</u>
- 25d + 10q = 730 ⇒ 5d + 2q = 146
<u>Now we have 2 equations. Solving the system by elimination, subtract 5 times the second equation from twice the first equation:</u>
- 2(2d + 5q) - 5(5d + 2q) = 2(176) - 5(146)
- 4d - 25d = -378
- -21d = -378
- d = -378/-21
- d = 18
