How to use the elimination method to solve a system of equations! #alldayeverydaymath

The elimination method is one of the most powerful ways to solve systems of equations. Instead of solving for one variable first like substitution, elimination lets you "cancel out" one variable completely by adding or subtracting the equations. The key is making the coefficients of one variable opposites so they eliminate each other when combined. Start by looking at the coefficients and deciding which variable to eliminate. In this system, let's eliminate y by making the coefficients opposites. Multiply the first equation by -5 and the second equation by -2, which gives you -15x + 10y = -10 and -10x + 10y = -20. Now subtract the second equation from the first to eliminate the y terms: (-15x + 10y) - (-10x + 10y) = -10 - (-20), which simplifies to -5x = 10. Divide both sides by -5 to get x = -2. Substitute x = -2 back into either original equation to find y. Using the first equation: 3(-2) - 2y = 2, so -6 - 2y = 2, then -2y = 8, and finally y = -4. Your solution is (-2, -4). Always check your answer by plugging both values into both original equations to make sure they work! #alldayeverydaymath #algebra #math #algebratutor #fyp