Respuesta :
Answer:
The missing value in the given solution is x=6
Therefore the solution is (6,-4)
Step-by-step explanation:
Given equation is [tex]6x+7y=4x+4y\hfill (1)[/tex]
To find the missing value in the solution to the equation :
- Let missing value in the solution be x
- Then the solution of the given equation is (x,-4)
Substitute the value of y=-4 in the given equation (1) we get
[tex]6x+7(-4)=4x+4(-4)[/tex]
[tex]6x-28=4x-16[/tex]
[tex]6x-28-(4x-16)=4x-16-(4x-16)[/tex]
[tex]6x-28-4x+16=4x-16-4x+16[/tex] ( adding the like terms )
[tex]2x-12=0[/tex]
[tex]2x=12[/tex]
[tex]x=\frac{12}{2}[/tex]
Therefore x=6