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② 10x - 3y = 5 2x - 3y = 1

Question

② 10x - 3y = 5
2x - 3y = 1

Explanation:

Step1: Subtract the two equations

$(10x - 3y) - (2x - 3y) = 5 - 1$
Simplify: $10x - 3y - 2x + 3y = 4$ → $8x = 4$

Step2: Solve for $x$

$x = \frac{4}{8} = \frac{1}{2}$

Step3: Substitute $x$ into second equation

$2\times\frac{1}{2} - 3y = 1$ → $1 - 3y = 1$

Step4: Solve for $y$

$-3y = 1 - 1$ → $-3y = 0$ → $y = 0$

Answer:

$x=\frac{1}{2}$, $y=0$