Answer:
Step-by-step explanation:
12x - 3y = 10
-3y = -12x + 10
y = 4x - 10/3....the slope here is 4
parallel lines will have the same slope
y = mx + b
slope(m) = 4
(-5,3)...x = -5 and y = 3
now we sub and find b, the y int
3 = 4(-5) + b
3 = -20 + b
3 + 20 = b
23 = b
so ur equation is : y = 4x + 23 <==
Step-by-step explanation:

You need to remember the properties of exponents: multiplication adds the exponents, division subtracts the exponents.
If you multiply two powers with the same base, the result will be the base to the sum of the powers.
If you divide two powers with the same base, the result will be the base to the difference of the powers.
In your case you will this:

That is:

Or:

Answer:

Step-by-step explanation:
Given the inequality

First, convert mixed numbers to improper fractions:

Now the inequality looks like

Multiply it by 6:

Keiko has a total of $5200
x is the amount of money in larger account
y is the amount of money in smaller account
x - y = $900
and x + y = $5200
<u>This creates two simultaneous equations:</u>
x - y = $900 ... (i)
x + y = $5200 ... (ii)
Adding (i) and (ii) :
2x = $6100 , x = $3050
y = x - $900 = $3050 - $900 = $2150
The amount of money in larger account (x) = $3050
The amount of money in smaller account (y) = $2150