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(i)
x+y=5 and
2x-3y=4

(i) $x+y=5$ and $2 x-3 y=4$

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Factor sums and differences of cubes

Full solution

Q. (i)

x+y=5

and

2 x-3 y=4

Question Prompt: question_prompt: Find the values of $x$ and $y$ given the system of equations $x + y = 5$ and $2x - 3y = 4$ .
Solve for x: Solve the first equation for x: $x = 5 - y$ .
Substitute $x$ : Substitute $x$ in the second equation: $2(5 - y) - 3y = 4$ .
Distribute and Combine: Distribute and combine like terms: $10 - 2y - 3y = 4$ .
Simplify the Equation: Simplify the equation: $-5y = -6$ .

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