Problem

{10x−3y=18−2x+3y=6

Answer

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Answer

The solution to the system of equations is x=3,y=4

Steps

Step 1 ：Given the system of equations: {10x−3y=18−2x+3y=6

Step 2 ：We can solve this system by elimination. By adding the two equations, we can eliminate y.

Step 3 ：Adding the two equations gives us: 10x−3y−2x+3y=18+6

Step 4 ：Simplifying the equation gives us: 8x=24

Step 5 ：Dividing both sides by 8, we find that x=3

Step 6 ：Substituting x=3 into the first equation, we get: 10∗3−3y=18

Step 7 ：Solving for y, we find that y=4

Step 8 ：The solution to the system of equations is x=3,y=4

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