Y - 4 = -3x + 9
y = -3x + 13
standard form: 3x + y = 13
The values of x, y, and z are 1, 2, and 3 respectively after using the substitution method.
<h3>What is a linear equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have a linear equation in three variable:
2x + 3y - z = 5 ...(1)
4x - y - z = -1 ...(2)
x + 4y + z = 12 ...(3)
(from the equation 1 and 2)
After solving:

From the above, two equations:
y =2
z =3
Plug the above values in equation 1
x = 1
Thus, the values of x, y, and z are 1, 2, and 3 respectively after using the substitution method.
Learn more about the linear equation here:
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Answer:
a and b are positive
Step-by-step explanation:
We are given that


We have to find that a and b are positive or negative.
We have

It means b is positive and greater than 4.

Adding 3 on both sides



Hence, a is positive and greater than 4.
Therefore, a and b are positive
Answer:
D
Step-by-step explanation:
Domain of the function 3x + 2y = 8 are the possible set of x-values represented as {-2, 0, 2, 4}.
To know which graph represents the above given function, find the range values of the function by plugging in each value of x into the equation, to find y.
For x = -2,
3(-2) + 2y = 8
-6 + 2y = 8
2y = 8 + 6
2y = 14
y = 14/2
y = 7
(-2, 7)
For x = 0,
3(0) + 2y = 8
0 + 2y = 8
2y = 8
y = 8/2
y = 4
(0, 4)
For x = 2,
3(2) + 2y = 8
6 + 2y = 8
2y = 8 - 6
2y = 2
y = 2/2
y = 1
(2, 1)
For x = 4,
3(4) + 2y = 8
12 + 2y = 8
2y = 8 - 12
2y = -4
y = -4/2
y = -2
(4, -2)
The graph which shows the following set of coordinates pairs calculated above, ((-2, 7), (0, 4), (2, 1), (4, -2)), is the graph of the function 3x + 2y = 8.
Thus, the graph in option D the shows the following calculated coordinate pairs. Therefore, graph D is the answer.
Answer:
36 units
Step-by-step explanation:
If half of one of the 6 sections is three the the other half is equivalent so I multiplied 6×6 and it gave me 36 (units).