Answer:
The solution to the system of equations is x = 28, y = -40.
Explanation:
- To solve a system of equations, we need to find values for the variables that will make both equations true.
- One way to do this is to eliminate one of the variables by making the coefficients equal and opposite, then solve for the remaining variable.
- For example, in this system of equations, we can eliminate the y variable by adding the two equations together:
3x + 2y = 4
-2x + 2y = 24
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x = 28
- Now that we have an equation in terms of x, we can substitute this value back into either of the original equations to solve for y. Let's substitute it into the first equation:
3x + 2y = 4
3(28) + 2y = 4
84 + 2y = 4
2y = -80
y = -40
the solution to the system of equations is x = 28, y = -40.