Question Type 2: Finding points of intersection of two straight lines Bootcamps

Determine the intersection point of the lines $2x + 3y = 12$ and $4x - y = 6$.

Find the point of intersection of the lines $4x + y = 8$ and $x - 3y = 1$.

Solve for the intersection of the lines given by $3x - y = 7$ and $x + 2y = 4$.

Determine whether the lines $2x - 4y + 2 = 0$ and $x - 2y + 1 = 0$ intersect; if so, find all solutions.

A line passes through $(1,2)$ and $(3,6)$. Find its intersection with the line $y = -x + 4$.

Find the intersection of the lines $5x - 2y + 10 = 0$ and $x + y - 3 = 0$.

Find the intersection of the lines $2x - 5y + 3 = 0$ and $5x + 2y - 11 = 0$.

Solve for the intersection of the lines $\tfrac32x - \tfrac13y = 4$ and $\tfrac{x}{4} + \tfrac{y}{2} = 1$.