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