The solution to the simultaneous equations $5 X - Y = 10$ and $10 x + Y = 35$ is
A) $X = 15$ , $Y = 0$ .
B) $X = 3$ , $Y = 5$ .
C) $X = 5$ , $Y = 3$ .
D)None of the above.

Question

Quizplus · Accepted Answer

Adding the two equations $5X - Y = 10$ and $10X + Y = 35$ eliminates $Y$, giving $15X = 45$, which simplifies to $X = 3$. Substituting $X = 3$ into the first equation gives $5(3) - Y = 10$, leading to $15 - Y = 10$ and thus $Y = 5$.

The Solution to the Simultaneous Equations 5X−Y=105 X - Y = 105X−Y=10

The Solution to the Simultaneous Equations $5 X - Y = 10$