Question

6x+7y=4x+4y6x+7y=4x+4y6, x, plus, 7, y, equals, 4, x, plus, 4, y Complete the missing value in the solution to the equation. ((left parenthesis ,-4),−4)

Answer 1

Answer:

The missing value in the solution to the equation is 6.

So, the complete solution is (6, -4).

Step-by-step explanation:

Given:

6x+7y=4x+4y.

(  ,-4)

Now, to complete the missing value in the solution to the equation.

As, the equation is:

$6x+7y=4x+4y$

And, the solution is:

$(x,y)=(\ \ ,-4)$

Now, solving the equation by putting the value of $y=-4$ :

$6x+7(-4)=4x+4(-4)\\\\6x+(-28)=4x+(-16)\\\\6x-28=4x-16$

Adding both sides by 28 we get:

$6x=4x+12$

Subtracting both sides by $4x$ we get:

$2x=12$

Dividing both sides by 2 we get:

$x=6.$

Thus, the solution to the equation is (6, -4).

Therefore, the missing value in the solution to the equation is 6.