Question

9

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
A system of linear equations is given by the tables. One of the tables is represented by the equation y = -x + 7
y
9
8
X
0
3
6
9
y
5
6
7
8
X
-6
-3
0
3
7
6
The equation that represents the other equation is y= 1/3
The solution of the system is (
)
X+
Reset
5
Next I

Answer 1

The solution of the system of linear equations can be found by determining the values of x and y that satisfy both equations simultaneously. From the given information, one equation is y = -x + 7, and the other equation is y = 1/3.

To find the solution, we need to find the point where the two equations intersect. By setting the right sides of the equations equal to each other, we can solve for x:

-x + 7 = 1/3

Adding x to both sides:

7 = 1/3 + x

To simplify, we convert 7 to its fraction form:

7 = 21/3

Now, we can combine the fractions on the right side:

21/3 = 1/3 + x

21/3 - 1/3 = x

20/3 = x

So, x = 20/3.

To find the corresponding value of y, we substitute this value of x into either of the equations. Let's use the equation y = -x + 7:

y = -(20/3) + 7

To simplify, we can convert 7 to its fraction form:

y = -(20/3) + 21/3

y = (21 - 20) / 3

y = 1/3

Therefore, the solution of the system of linear equations is (x, y) = (20/3, 1/3).