Final answer:
To solve the system of equations {2x+5y=9, -x+3y =1, 7x-2y =14}, we can use the method of substitution or elimination.
Step-by-step explanation:
To solve the system of equations {2x+5y=9, -x+3y =1, 7x-2y =14}, we can use the method of substitution or elimination. Let's use the method of substitution to solve:
Start with the second equation -x + 3y = 1 and solve for x in terms of y: x = 3y - 1.
Substitute this value of x into the first and third equations to obtain: 2(3y - 1) + 5y = 9 and 7(3y - 1) - 2y = 14.
Simplifying these equations will give us the values of y and then we can substitute the value of y back into any of the original equations to find the value of x.