Solve the system by using a table.
{3y = 4x + 7
{-4x - 4y = 28

The two equations given in the question are:

3y = 4x + 7

- 4x - 4y = 28

Now, let us subtract 3y and 7 from both sides of the first equation

3y - 3y - 7 = 4x + 7 - 3y - 7

- 7 = 4x - 3y

This can be written as 

4x - 3y = - 7

Now let us set the two equations in table form

4x - 3y = - 7

- 4x - 4y = 28

We get from the above deduction,

- 7y = 21

y = - 21/7

y = - 3

Now let us put the value of y in the first equation, we get

3y = 4x + 7

3 (- 3) = 4x + 7

- 9 = 4x + 7

4x = - 9 - 7

4x = - 16

x - - 4

So (x,y) comes out to be (-4, -3). The correct option among all the options given in the question is the first option or option "A".

please add options

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

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step-by-step explanation: