6x – 8 = 4 written as a system. Hence second option is correct
<u>Solution:</u>
Given, equation is 6x – 8 = 4.
We have to find the equivalent system from given options.
First let us solve given equation, 6x – 8 = 4 ⇒ 6x = 4 + 8 ⇒ 6x = 12 ⇒ x = 2
Now, let us solve one by one option ,so that when we get above solution, that is correct option.
- y = 6x – 8 and y = -4 ⇒ put y = -4 in y = 6x – 8 ⇒ 6x – 8 = -4 ⇒ 6x = 8 – 4
⇒ 6x = 4 ⇒ x ≠ 2, wrong option
- y = 6x – 8 and y = 4 ⇒ put y = 4 in y = 6x – 8 ⇒ 6x – 8 = 4 ⇒ 6x = 8 + 4 ⇒ 6x = 12 ⇒ x = 2, right option.
- y = -6x + 8 and y = 4 ⇒ put y = 4 in y = -6x + 8 ⇒ -6x + 8 = 4 ⇒ 6x = 8 – 4 ⇒ 6x = 4 ⇒ x ≠ 2, wrong option
hence, second option is correct.
system of equations means that we have a given number of equations with the same solutions.
If you only have tables, this means that you need to have one table for each equation:
For example, if you are working only with two variables, x and y, in those tables you can see the pints (x, y) that belong to each equation.
Now, a point (x, y) will be a solution of the system of equations only if it belongs to the data table for each equation
This would mean that if you graph those data sets, the graphs will intersect at the point (x, y) that belongs to all the tables of data.
another way may be using the data in the tables to construct the equations, but you said that you only want to use the tables, so this method can be discarded.
Answer:
The graph of the function rule will be a line segment connecting (0,2) and (40,22) as shown in the graph below.
Step-by-step explanation:
The graph of the function rule will be a line segment connecting (0,2) and (40,22) as shown in the graph below.
