Solve for the following: 2x - 3y = -24 3x + 5y = 45
A)x = 0.789, y = 8.526
B)x = .489, y = 8.526
C)x = 4.789, y = 9.526
D)x = 2.789, y = 7.526
E)x = 0.2789, y = 0.7526

Question

Quizplus · Accepted Answer

Explanation:To solve the system of equations, we can use the substitution method. First, solve one equation for one variable. Let's solve the first equation for x:2x - 3y = -242x = 3y - 24x = (3y - 24)/2Now, substitute this expression for x into the second equation:3x + 5y = 453((3y - 24)/2) + 5y = 45(9y - 72)/2 + 5y = 459y - 72 + 10y = 9019y = 162y = 8.526Now, substitute this value for y back into the expression we found for x:x = (3y - 24)/2x = (3(8.526) - 24)/2x = (25.578 - 24)/2x = 0.789Therefore, the solution to the system of equations is x = 0.789 and y = 8.526.

Solve for the Following: 2x - 3y = -24 3x