Question

-6x=48-6y
-4x=50-6y
HELP PLZZZ

Answer 1

`x=1,\\y=9`

Explanation:

When solving a system of equations, one of the faster methods to solve this system is the process of elimination. This process involves manipulating one of the equations (by multiplying it by a certain value), such that when one adds the two equations in the system, one of the variables cancels. One can then solve for the other variable in the system. Then backsolve for the other variable; by substituting the value of the found variable into the system, simplifying and using inverse operations to solve for the other variable.

`-6x=48-6y\\\\-4x=50-6y`

Manipulate, multiply one of the equations by a certain value such that the coefficient of the like term in the other equation is the additive inverse of it.

`(-6x=48-6y)*(-1)\\\\-4x=50-6y`

Simplify,

`6x=-48+6y\\\\-4x=50-6y`

Add the equations in the system,

`6x=-48+6y\\\\-4x=50-6y`

`(6x)+(-4x)=(-48)+(50)+(6y)+(-6y)`

Simplify,

`(6x)+(-4x)=(-48)+(50)+(6y)+(-6y)`

`2x=2`

Inverse operations,

`2x=2`

`x=1`

Backsolve to find the value of (y).

`-4x=50-6y`

`x=1`

Substitute,

`-4(1)=50-6y`

Simplify,

`-4=50-6y`

Inverse operations,

`-4=50-6y`

`-54=-6y`

`9=y`