Question

3x-y=-1 and -3x+4y=-14

Answer 1

I'm not sure what we're being asked to find here but if this is putting the equation into slope-intercept form, then it's:

3x - y = -1

-y = -3x -1

y = 3x - 1

And

-3x + 4y = -14

4y = 3x - 14

y = 0. 75x - 3.5


But if you're asking to solve this as systems of equations then:

3x - y = -1

-3x + 4y = -14

Solving by elimination. Add both equations together.

3x - y = -1
+ -3x + 4y = -14
———————————
3y = -15

Divide both sides by 3.

y = -5

Now that we know the numerical value of y, we can solve for x.

3x - y = -1 -3x + 4y = -14

3x - (-5) = -1 -3x + 4(-5) = -14

3x + 5 = -1 -3x - 20 = -14

3x = -6 -3x = 6

x = -2 x = -2


So, the solution/coordinates to these system of equations are (-2, -5).