Solving multiple equations simultaneously using various methods
Solve the system: 2x + y = 7 and x - y = 2
Add the equations to eliminate y and solve for x, then substitute back
How many solutions does this system have: y = 2x + 1 and y = 2x + 5?
Parallel lines with different y-intercepts never intersect
Solve by substitution: x + y = 10 and y = 2x + 1
Substitute the expression for y from the second equation into the first
Which method is best for solving: 3x + 2y = 12 and 3x - y = 3?
Elimination works well when coefficients of one variable are the same
A system with infinite solutions occurs when:
Identical lines have all points in common, giving infinite solutions