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Solve the simultaneous equations7x−y= −12,7x+2y= −18.

Question

Solve the simultaneous equations7x−y= −12,7x+2y= −18.

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Solution

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

Step 1: Write down the equations:

7x - y = -12 ...(1)

7x + 2y = -18 ...(2)

Step 2: Multiply equation (1) by 2:

14x - 2y = -24

Step 3: Add the new equation from step 2 and equation (2):

14x - 2y + 7x + 2y = -24 -18

Step 4: Simplify the equation:

21x = -42

Step 5: Solve for x:

x = -42 / 21 = -2

Step 6: Substitute x = -2 into equation (1):

7(-2) - y = -12

-14 - y = -12

y = -14 + 12 = -2

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

This problem has been solved

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