You should use −2(x + y = 8) to eliminate x:
Proof: multiply all the terms of (x + y = 8 by -2
-2x -2y = -16. Now add up this equation to 2x + 5y = 24 & x will be eliminates
Answer:
It is a function
Step-by-step explanation:
A function is of the form:
![\left[\begin{array}{c}x_1&x_2&x_3\\-&-&-\\x_n\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx_1%26x_2%26x_3%5C%5C-%26-%26-%5C%5Cx_n%5Cend%7Barray%7D%5Cright%5D)
![\left[\begin{array}{c}y_1&y_2&y_3\\-&-&-\\y_n\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dy_1%26y_2%26y_3%5C%5C-%26-%26-%5C%5Cy_n%5Cend%7Barray%7D%5Cright%5D)
Where each of the x values must be distinct.
The x values are referred to as domain while the y values are called range.
Having said that, the given data can be represented as follows:
![\left[\begin{array}{c}-3&1&6\\7&12\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D-3%261%266%5C%5C7%2612%5Cend%7Barray%7D%5Cright%5D)
----------- ![\left[\begin{array}{c}7&-8&-6\\-8&2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D7%26-8%26-6%5C%5C-8%262%5Cend%7Barray%7D%5Cright%5D)
<em>From the representation above, none of the x values are repeated.</em>
<em>Hence, it is a function</em>
Answer:
Step-by-step explanation:
1 Solve:
8r + 4 = 10 + 2r
We will collect the variable terms on the left hand side of the equation and constants on the right hand side of the equation
8r - 2r = 10-4
6r = 6
r= 6/6 = 1
2 Solve:
-2(x + 3) = 4x - 3
-2x -6 = 4x - 3
We will collect the variable terms on the left hand side of the equation and constants on the right hand side of the equation
-2x - 4x = -3 + 6
-6x = 3
x = 3/-6
x = -1/2
3 Solve
5 + 3(q - 4) = 2(q + 1)
5 + 3q - 12= 2q+2
We will collect the variable terms on the left hand side of the equation and constants on the right hand side of the equation
3q - 2q = 2 +12 - 5
q = 9
4. Solve
7x - 4 = -2x + 1 + 9x - 5
We will collect the variable terms on the left hand side of the equation and constants on the right hand side of the equation
7x +2x-9x = 1 - 5 +4
0= 0
5 Solve:
8x + 6 - 9x = 2 - x -15
We will collect the variable terms on the left hand side of the equation and constants on the right hand side of the equation
8x -9x + x = 2 - 15 -6
0x = -19
0= 19
Answer:
y=1472/3
Step-by-step explanation:
Answer:
y = 6x - 13
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (2, - 1) and (x₂, y₂ ) = (1, - 7)
m = 
= 
= 6, thus
y = 6x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (1, - 7), then
- 7 = 6 + c ⇒ c = - 7 - 6 = - 13
y = 6x - 13 ← equation of line
