Let's solve this system of equations through substitution.
We have these two equations.
-7x-2y=14
6x+6y=18
Now let divide the second equation by 6.
6x+6y=18 ----> x+y=3
Next, let us move y to the right side of the equation.
x+y=3 -------> x=3-y (x equals 3-y)
Because we found out that what x is in terms of y, we can input that in for every instance of x in this equation below.
-7x-2y=14 becomes -7(3-y)-2y=14 (Why? Because x equals 3-y!)
We have a one variable equation now and can solve for y.
-7(3-y)-2y=14
-21+7y-2y=14
5y=35
y=7
Plug in 7 for y in any equation to find x.
x+y=3
x+7=3
x=-4
answer: x=-4, y=7
Answer:
x = 6
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
5(x + 2) = 6x + 3x - 14
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Addition] Combine like terms: 5(x + 2) = 9x - 14
- [Distributive Property] Distribute 5: 5x + 10 = 9x - 14
- [Subtraction Property of Equality] Subtract 9x on both sides: -4x + 10 = -14
- [Subtraction Property of Equality] Subtract 10 on both sides: -4x = -24
- [Division Property of Equality] Divide -4 on both sides: x = 6
Just add all the numbers together and then multiple it by 3
Answer:
(a) 
(b) We cross multiply the probability by the total voters
(c) 9347
Step-by-step explanation:
(a)
Probability of getting a republican voter is
These are found by dividing the first numerator and denominator by 2, then by 3
To make it complete, the situation is therefore defined as where y is unknown value
(b)
Cross multiplication of the probability and number of voters gives the actual figure of y in the equation formed in part a of the question.
(c)
Since we have 15240 voters who plan to participate in election, we cross multiply to get the approximate number of republican voters which yields
