Solve the simultaneous equations5x−y= −15,5x+3y= 5.

Sure, here are the steps to solve the simultaneous equations:

Step 1: Write down the equations:

5x - y = -15 ---- (Equation 1)

5x + 3y = 5 ---- (Equation 2)

Step 2: Subtract Equation 1 from Equation 2 to eliminate x:

(5x + 3y) - (5x - y) = 5 - (-15)

This simplifies to:

4y = 20

Step 3: Solve for y:

y = 20 / 4

y = 5

Step 4: Substitute y = 5 into Equation 1 to solve for x:

5x - 5 = -15

5x = -15 + 5

5x = -10

x = -10 / 5

x = -2

So, the solution to the simultaneous equations is x = -2 and y = 5.