Question

-3x -5y = -7-4x - 5y = 14

Answer 1

It is not possible to have more than one equal sign in in an equation

Explanation:

Answer 2

We have to solve the system of equations shown.

`\begin{gathered} -3x-5y=-7 \\ -4x-5y=14 \end{gathered}`

Let's mutliply the 2nd equation by -1,

`\begin{gathered} -1*\lbrack-4x-5y=14\rbrack \\ 4x+5y=-14 \end{gathered}`

Now, let's add the first equation with this equation, eliminate y, and solve for x:

`\begin{gathered} -3x-5y=-7 \\ 4x+5y=-14 \\ --------- \\ 4x-3x=-14-7 \\ x=-21 \end{gathered}`

We simply plug in this value of x in the first equation and solve for y:

`\begin{gathered} -3x-5y=-7 \\ -3(-21)-5y=-7 \\ 63-5y=-7 \\ 5y=63+7 \\ 5y=70 \\ y=(70)/(5) \\ y=14 \end{gathered}`

Thus, the values of x and y are:

x = - 21

y = 14