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Solve the simultaneous equations4x−y= 13,4x+3y= 9.

Question

Solve the simultaneous equations4x−y= 13,4x+3y= 9.

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Solution

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

Step 1: Write down the equations:

4x - y = 13 4x + 3y = 9

Step 2: Subtract the second equation from the first:

(4x - y) - (4x + 3y) = 13 - 9 This simplifies to -4y = 4

Step 3: Divide both sides by -4 to solve for y:

y = 4 / -4 = -1

Step 4: Substitute y = -1 into the first equation:

4x - (-1) = 13 4x + 1 = 13 4x = 13 - 1 4x = 12

Step 5: Divide both sides by 4 to solve for x:

x = 12 / 4 = 3

So, the solution to the simultaneous equations is x = 3, y = -1.

This problem has been solved

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