Question

6x+7y=4x+4y

Complete the missing value in the solution to the equation.

(___,-4)

Answer 1

Answer:(6,-4)

Explanation:

6x+7y=4x+4y

If (?,-4)

So we are solving for x. Substitute the y with -4.abd solve.

6x+7(-4)=4x+4(-4)

Multiply 7(-4) on left side and 4(-4) on right side.

6x-28=4x-16

Subtract 4x both sides to get x term on left side

6x-4x-28= -16

Now add 28 to both sides to move to the right side because you want to keep x on left side.

6x-4x=28-16

2x= 28-16

Subtract 28 from 16

2x= 12

Divide 2 to both sides

X=12/2

Solve 12÷2=6

X=6

Answer 2

`S=\left \{ \left ( 6,-4 \right ) \right \}`

Explanation:

1) In this equation we have one solution already given for y. y=-4. Let's make it one simplest equation:

`6x+7y=4x+4y\\6x-4x=-7y+4y\Rightarrow 2x=-3y`

Now, plugging in the y value already given:

2)
`2x=-3(-4)\Rightarrow 2x=12\Rightarrow x=6`

`S=\left \{ \left ( 6,-4 \right ) \right \}`