Solve the simultaneous equations7x−3y= −4,3x−2y= −1.

Sure, let's solve these equations step by step.

Step 1: Write down the equations

7x - 3y = -4 3x - 2y = -1

Step 2: Multiply the equations by necessary multiples such that the coefficients of y's in both equations will cancel each other out when subtracted. In this case, multiply the first equation by 2 and the second equation by 3.

14x - 6y = -8 9x - 6y = -3

Step 3: Subtract the second equation from the first

(14x - 9x) - (6y - 6y) = -8 - (-3) 5x = -5

Step 4: Solve for x

x = -5 / 5 x = -1

Step 5: Substitute x = -1 into the second equation

3(-1) - 2y = -1 -3 - 2y = -1 -2y = -1 + 3 -2y = 2

Step 6: Solve for y

y = 2 / -2 y = -1

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