Answer:
x= -1 and y= -1
Step-by-step explanation:
Power through with me as I explain this, its a bit long of an explanation.
To solve the following system of equations, we need to write 5x-4y=-1 in slope-intercept form.

Subtract 5x from both sides.


Divide each term by -4.

Remember that dividing two negative values results in a positive value.

Reorder the terms. (Reordering terms makes the work tidier, it does not change the result)

Now that we have the slope-intercept form, we can solve by subsitution with the two equations to find the solution.
Substitute
for <em>y </em> in
.

Subtract 1/4 from each side.

Simplify the left side.

Simplify the right side.

Subtract 6x from both sides.

Simplify.

Simplify the left side of the equation by factoring out <em>x.</em>
<em />
<em />
<em />
<em />
<em />
<em />
Multiply each side by 4.


Divide both side by 19.


Now that we know the value of x, we need to find y.
Insert the value of x in the equation y= 6x+5



Thus, x= -1 and y= -1 OR (-1,-1)