A system of linear equations is given by the tables.

Please, see the explanation.

Step-by-step explanation:

DETERMINING THE EQUATION FOR THE FIRST TABLE

Given the first table

x                     y

-5                   10

-1                    2

0                    0

11                   -22

From the given equation, we can verify and determine that

is the required equation that satisfies the table values of the first table.

substituting the table values of all the ordered pairs to check

FOR (-5, 10)

y =-2x

10 = -2(-5)

10 = 10

L.H.S = R.H.S

FOR (-1, 2)

y =-2x

2 = -2(-1)

10 = 2

L.H.S = R.H.S

FOR (0, 0)

y =-2x

0 = -2(0)

0 = 0

L.H.S = R.H.S

FOR (11, -22)

y =-2x

-22 = -2(11)

-22 = -22

L.H.S = R.H.S

As all the ordered pairs of the first table satisfy the equation.

Hence, is the equation for the first table.

DETERMINING THE EQUATION FOR THE SECOND TABLE

Given the first table

x                     y

-8                   -11

-2                    -5

1                      -2

7                      4

From the given equation, we can verify and determine that

is the required equation that satisfies the table values of the second table.

substituting the table values of all the ordered pairs to check

FOR (-8, -11)

y =x-3

-11 = -8-3

-11 = -11

L.H.S = R.H.S

FOR (-2, -5)

y =x-3

-5= -2-3

-11 = -5

L.H.S = R.H.S

FOR (1, -2)

y = x-3

-2= 1-3

-2 = -2

L.H.S = R.H.S

FOR (7, 4)

y = x-3

4 = 7-3

4 = 4

L.H.S = R.H.S

As all the ordered pairs of the second table satisfy the equation.

Hence, is the equation for the second table.

Therefore, the equations are:

Now, let us solve to determine the solution

Arrange equation variables for elimination

solving

For ,  plugin

Therefore, the solution to the system of equations are:

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step-by-step explanation: