Calculate the solution to these simultaneous equations using the elimination method: (1)(1)4𝑥+𝑦4x+y==1717 (2)(2)𝑥−𝑦x−y==88
Question
Calculate the solution to these simultaneous equations using the elimination method: (1)(1)4𝑥+𝑦4x+y==1717 (2)(2)𝑥−𝑦x−y==88
Solution
The equations you provided seem to be formatted incorrectly, but I'll assume you meant:
- 4x + y = 17
- x - y = 8
Here's how you can solve these equations using the elimination method:
Step 1: Align the equations:
4x + y = 17 x - y = 8
Step 2: Add the two equations together. The y terms will cancel out:
(4x + x) + (y - y) = 17 + 8 5x = 25
Step 3: Solve for x:
x = 25 / 5 x = 5
Step 4: Substitute x = 5 into the second equation:
5 - y = 8 -y = 8 - 5 -y = 3
Step 5: Solve for y:
y = -3
So, the solution to the system of equations is x = 5, y = -3.
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