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