There are 3 ways of solving a simultaneous problem, substitution method, elimination method and Gauss-Jordan method. I'm gonna use the substitution method since it's easier and i think it would suit your level more.
First let's try solving for y since it's easier to start with.
Firstly we have to find an equation for x:
Great, now we can use the substitution method to find the value of y using the first equation:
Now we know that y=1 we can solve the first equation we made:
And the answer is 
Double check:
And that's our final answer! (4,1)
ANSWER
36,-36
EXPLANATION
The given function is:
To write this function in vertex form;
We need to add and subtract the square of half the coefficient of x.
The coefficient of x is 12.
Half of it is 6.
The square of 6 is 36.
Therefore we add and subtract 36.
Hence the zero pair is:
36, -36.
The correct answer is D.
Here are some things you should know when solving algebraic equations.
If you add an expression to both sides of an equation, the resulting equation will have the same solution set as the original equation. In other words, they will be equivalent. This is true for all operations. As long both sides are treated the same, the equation will stay balanced.
You will also need to know how to combine like terms. But what are like terms to begin with? Like terms are defined as two terms having the same variable(s) (or lack thereof) and are raised to the same power. In mathematics, something raised to the first power stays the same. So, 5x and 10x are like terms because they both have the same variable and are raised to the first power. You don’t see the exponents because it doesn’t change the value of the terms.
To combine like terms, simplify add the coefficients and keep the common variable(s) and exponent.
The distributive property is another important rule you will need to understand.
The distributive property is used mostly for simplifying parentheses in expressions/equations.
For example, how would you get rid of the parentheses here?
6(x + 1)
If there wasn’t an unknown in between the parentheses, you could just add then multiply. That is what the distributive property solves. The distributive property states that a(b + c) = ab + ac
So, now we can simplify our expression.
6(x + 1) = 6x + 6
Now let's solve your equation.
9v = 8 + v
8v = 8 <-- Subtract v from each side
v = 1 <-- Divide both sides by 8
So, v is equal to 1.
Answer:
ask an adult, about the situation
Step-by-step explanation:
Answer:
x2 = y2/m - y1/m + x1
Step-by-step explanation:
Expand
y2 - y1 = mx2 - mx1
Rearrange
y2 - y1 + mx1 = mx2
Divide both sides by m to make x2 on its own
y2/m - y1/m + x1 (m's cancel out) = x2
Hence:
x2 = y2/m - y1/m + x1
