Question

The table can be used to determine the solution to the system of equations, 2y − x = 8, and y − 2x = −5. A table with 6 columns and 2 rows. The first column, Original System has 2 y minus x equals 8 and y minus 2 x equals negative 5. The second column, Equivalent System, has 2 y minus x equals 8 and negative y plus 4 x equals 10. The third column, Sum of equations in Equivalent System, has 3 x equals 18. The fourth column, Solution to System, is blank. The fifth column, New System Using Sum, has2 y minus x equals 8 and 3 x equals 18. The sixth column, Solution to New System is blank. Which solution can be used to fill in both blanks in the table? (1, 6) (6, 1) (7, 6) (6, 7)

Answer 1

Answer:

(6, 7) is the correct answer on edge

Step-by-step explanation:

I just took the test :D i hope this helped

Answer 2

The solution that can be used to fill in both blanks in the table is; (6, 7)

How to solve simultaneous linear equations?

We are given the simultaneous equations;

2y − x = 8   -----(1)

y − 2x = −5   -----(2)

From eq 2, make y the equation to get;

y = 2x - 5    ----(3)

Plug in 2x - 5 for y in eq 1 to get;

2(2x - 5) - x = 8

4x - 10 - x = 8

3x = 18

x = 18/3

x = 6

Thus;

y = 2(6) - 5

y = 7

Read more about simultaneous equations at; https://brainly.com/question/16863577

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