Answer:
Solving a system of equations by substitution involves isolating a variable in one equation, then substituting that expression into the other equation. This allows you to solve for the remaining variable in one equation and then substitute it back into the first equation to find the solution for the other variable.
Here is the general process for solving a system of equations by substitution:
Isolate a variable in one of the equations. This is typically done by adding or subtracting one of the variables from both sides of the equation.
Substitute the isolated expression into the other equation by replacing the corresponding variable with the expression you found in step 1.
Solve the new equation for the remaining variable.
Substitute the value you found for the remaining variable back into the first equation and solve for the other variable.
Check your solution by substituting the values you found for the variables back into both equations to make sure they are true statements.
Write your solution in the form of an ordered pair (x, y)
An example of solving a system of equation by substitution :
2x + 3y = 8
4x - 3y = 2
Isolate a variable in one of the equations, for example:
3y = 8 - 2x
Substitute this expression into the other equation:
4x - 3(8 - 2x) = 2
Solve the new equation for the remaining variable:
4x - 24 + 6x = 2
10x = 26
x = 2.6
Substitute the value you found for x back into the first equation and solve for y:
2(2.6) + 3y = 8
5.2 + 3y = 8
3y = 2.8
y = 0.93
Check your solution by substituting the values you found for the variables back into both