Solve the simultaneous equations6x+7y= −22,2x+3y= −14.

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

Step 1: Write down the equations:

6x + 7y = -22 2x + 3y = -14

Step 2: To eliminate one of the variables, we can multiply the second equation by 3 and the first equation by 2:

18x + 21y = -66 12x + 21y = -42

Step 3: Subtract the second equation from the first:

6x = -24

Step 4: Solve for x:

x = -24 / 6 x = -4

Step 5: Substitute x = -4 into the second equation:

2(-4) + 3y = -14 -8 + 3y = -14 3y = -14 + 8 3y = -6

Step 6: Solve for y:

y = -6 / 3 y = -2

So, the solution to the system of equations is x = -4 and y = -2.