How do you solve 2x-y=-1 and 3x+2y=-5?

Three times two times y = - five --------------(2) and two times x - y = -one (1)

Solve equation (1) so that y = 1 + 2x and y-y = - 1 - 2x.

Enter y = 1 + 2x in the formula (2).

enter the formula (1) with the value x = -1.

To solve the system of equations 2x - y = -1 and 3x + 2y = -5, you can use the method of substitution or elimination. Here, I'll demonstrate using the method of elimination:

1. Multiply the first equation by 2 to make the coefficients of y in both equations equal:

   • Equation 1 becomes 4x - 2y = -2

2. Now, we have:

   • Equation 1: 4x - 2y = -2
   • Equation 2: 3x + 2y = -5

3. Add the two equations together to eliminate y:

   • (4x - 2y) + (3x + 2y) = -2 + (-5)
   • 4x - 2y + 3x + 2y = -2 - 5
   • 7x = -7

4. Solve for x:

   • Divide both sides by 7: x = -1

5. Substitute the value of x back into either equation to solve for y. Let's use Equation 1:

   • 2(-1) - y = -1
   • -2 - y = -1
   • Subtract -2 from both sides: -y = -1 + 2
   • -y = 1
   • Multiply both sides by -1 to isolate y: y = -1

So, the solution to the system of equations is x = -1 and y = -1.