Solve the system of equations (2x + 3y = 12) and (5x - y = 9).

Question

Accepted Answer

Step:1 ：Step 1: Multiply the second equation by 3 to make the coefficient of (y) in the second equation equal to the coefficient of (y) in the first equation. We get (15x - 3y = 27).Step:2 ：Step 2: Add the first equation (2x + 3y = 12) to the new second equation (15x - 3y = 27), we get (17x = 39).Step:3 ：Step 3: Solve for (x) in the equation (17x = 39), we get (x = frac{39}{17}).Step:4 ：Step 4: Substitute (x = frac{39}{17}) into the first equation (2x + 3y = 12), we get (2*frac{39}{17} + 3y = 12).Step:5 ：Step 5: Solve for (y) in the equation (2*frac{39}{17} + 3y = 12), we get (y = frac{81}{34}).

Answer

Step: 1 ：Step 1: Multiply the second equation by 3 to make the coefficient of (y) in the second equation equal to the coefficient of (y) in the first equation. We get (15x - 3y = 27).Step: 2 ：Step 2: Add the first equation (2x + 3y = 12) to the new second equation (15x - 3y = 27), we get (17x = 39).Step: 3 ：Step 3: Solve for (x) in the equation (17x = 39), we get (x = frac{39}{17}).Step: 4 ：Step 4: Substitute (x = frac{39}{17}) into the first equation (2x + 3y = 12), we get (2*frac{39}{17} + 3y = 12).Step: 5 ：Step 5: Solve for (y) in the equation (2*frac{39}{17} + 3y = 12), we get (y = frac{81}{34}).

Solve the system of equations $2 x + 3 y = 12$ and $5 x - y = 9$ .

Answer

Popular Problems

Solve the system of equations 2x+3y=12 and 5x−y=9.

Answer

Popular Problems

Solve the system of equations $2 x + 3 y = 12$ and $5 x - y = 9$ .