Question

The system of linear equation 2x +3y =13 and 3x + 2y =12 has what solution(s).​

Answer 1

The system of linear equations 2x + 3y = 13 and 3x + 2y = 12 can be solved using the method of substitution or elimination. The solution to the system is x = -2 and y = 3.

Step-by-step explanation:

The system of linear equations 2x + 3y = 13 and 3x + 2y = 12 can be solved using the method of substitution or elimination.

Here's how to solve it using substitution method:

1. From the first equation, solve for x in terms of y: x = (13 - 3y)/2
2. Substitute this value of x into the second equation: 3((13 - 3y)/2) + 2y = 12
3. Simplify the equation and solve for y: y = 3
4. Substitute this value of y back into the first equation or second equation to solve for x: x = -2

So, the solution to the system of linear equations is x = -2 and y = 3.

Learn more about Solving Systems of Linear Equations