The lines ax+by=5 and bx-ay=10 meet at the point (2,-1), where a and b are constants. - Find the val

Question

The lines ax+by=5 and bx-ay=10 meet at the point (2,-1), where a and b are constants. - Find the values of a and b. - Find the y-intercept of each line. - Find the area of the triangle formed by the two lines and the y-axis.

Accepted Answer

(a) $a=4$, $b=3$ (b) $\dfrac53$ and $-\dfrac52$ (c) $\dfrac{25}{6}\text{ units}^2$

Finding coefficients from a point of intersection

Finding coefficients from a point of intersection

Solution:

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