Question

2y=-24-8x 6x+18=5 solve the system

Answer 1

First, write both equations:

(1)
`2y=-24-8x`

(2)
`6x+18=5`

Notice that equation (2) only has one variable (x) in it. Let's identify what x is equal to by simplifying this equation.

Start by subtracting 18 from both sides:

`6x=-13`

Next, divide both sides by 6:

`x=-(13)/(6)`

Now that we have a value for x, we can plug it into equation (1) to find a value for the variable (y).

Plug
`x=-(13)/(6)` into equation (1):

`2y=-24-8(-(13)/(6))`

Multiply -8 and (-13/6). Note that a negative number multiplied by another negative number equals a positive:

`2y=-24+(52)/(3)`

Combine terms on the right of the equation:

`2y=-(72)/(3) +(52)/(3)`

`2y=-(20)/(3)`

Finally, divide both sides of the equation by 2 to find a value for y:

`y=((-(20)/(3)))/(2)`

Simplify:

`y=-(20)/(6)=-(10)/(3)`

Therefore, the answer to the system of equations is:

`x=-(13)/(6)`

`y=-(10)/(3)`