Question

Solve the following system of linear equations: 32-3 3x + 13y + 4 42 9 1733 * + Which one of the following statements best describes your solution A. There is no solution B. There is a unique solution C. There are 3 solutions D. There are infinitely many solutions with one arbitrary parameter, E. There are Infinitely many solutions with two arbitrary parameters F. There are Infinitely many solutions with three arbitrary parameters. Statement B 11 - Part 2 Enter your solution below. It a variable is an arbitrary parameter in your solution, then set it equal to 0

Answer 1

To solve the system of linear equations, use the method of substitution to find the values of x and y. The solution is x = 359/9 and y = -11/3.

Step-by-step explanation:

To solve the system of linear equations, we can use the method of substitution. First, rearrange the equations in the standard form Ax + By = C. The given system becomes:

3x + 13y = 9

3x + 4y = 42

Next, subtract the second equation from the first equation to eliminate x:

(3x + 13y) - (3x + 4y) = 9 - 42

9y = -33

Solve for y:

y = -33/9 = -11/3

Substitute the value y = -11/3 into either of the original equations to solve for x:

3x + 13(-11/3) = 9

3x - 143/3 = 9

3x = 9 + 143/3

3x = 27 + 143/3 = 216/3 + 143/3 = 359/3

x = 359/3 * 1/3 = 359/9

Therefore, the solution to the system of linear equations is x = 359/9 and y = -11/3.

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