Question

The table can be used to determine the solution of equations, 2x − 2y = 6 and 4x + 4y = 28. A table with 6 columns and 2 rows. The first column, Original System has 2 x minus 2 y equals 6 and 4 x plus 4 y equals 28. The second column, Equivalent System, has 4 x minus 4 y equals 12 and 4 x plus 4 y equals 28. The third column, Sum of equations in Equivalent System, has 8 x equals 40. The fourth column, Solution to System, is blank. The fifth column, New System Using Sum, has 4 x plus 4 y equals 28 and 8 x equals 40. The sixth column, Solution to New System is blank. Which solution can be used to fill in both blanks in the table? (2, 5) (5, 2) (5, −8) (−8, 5)

Answer 1

Answer:

answer is B

Step-by-step explanation:

Answer 2

The solution is (5,2)

Step-by-step explanation:

From the third column the equation for sum of equivalent system is given as;

8x = 40

divide both sides by 8 to get value of x

8x/8 = 40/8

x=5

Using the value of x in the fifth column's first equation will be;

4x +4y =28

4(5) + 4y =28

20 +4y =28

4y= 28-20

4y=8

divide both sides by 4 to get y

4y/4 =8/4

y=2

The solution is x=5 and y=2 written as (5,2)

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Solving simultaneous equations : brainly.com/question/12647791

Keywords: table, solution, column, original system

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