Answer:
Explanation:
1. Solve one of the equations for one of the variables. For example, if the system is:
x + 2y = 7
3x - 4y = -2
2. You could solve the first equation for x by subtracting 2y from both sides:
x = 7 - 2y
3. Substitute the expression for the variable you solved for in step 1 into the other equation. For example, substituting x = 7 - 2y into the second equation gives:
3(7 - 2y) - 4y = -2
4. Simplify and solve for the remaining variable. Using the example from step 2, you would simplify the equation as follows:
21 - 6y - 4y = -2
21 - 10y = -2
-10y = -23
y = 23/10
5. Substitute the value of the variable you found in step 3 back into one of the original equations to solve for the other variable. Using the example from step 1, you would substitute y = 23/10 into x = 7 - 2y:
x = 7 - 2(23/10)
x = -9/5
6. Check your solution by substituting the values you found for x and y into both of the original equations. If the values satisfy both equations, then you have found the correct solution.
x + 2y = 7 becomes (-9/5) + 2(23/10) = 7, which is true
3x - 4y = -2 becomes 3(-9/5) - 4(23/10) = -2, which is also true
Therefore, the solution to the system of equations is x = -9/5 and y = 23/10.