Question

Find the solution to the system of equations: x + 3y = 7 and 2x + 4y = 81. isolate x in the first equation:2. substitute the value for x into the second equation:3. solve for y:4. substitute y into either original equation:5. write the solution as an ordered pair:x = 7 – 3y2(7 – 3y) + 4y = 814 – 6y + 4y = 814 – 2y = 8–2y = –6y = 3x + 3(3) = 7(,

Answer 1

To find the solution to the system of equations, isolate x in the first equation, substitute the value for x into the second equation, solve for y, substitute y into either original equation, and write the solution as an ordered pair.

Step-by-step explanation:

1. Isolate x in the first equation: x = 7 - 3y
2. Substitute the value for x into the second equation: 2(7 - 3y) + 4y = 81
3. Solve for y: 14 - 6y + 4y = 81, -2y = 67, y = -67/2
4. Substitute y into either original equation: x + 3(-67/2) = 7, x - 201/2 = 14, x = 215/2
5. Write the solution as an ordered pair: (x, y) = (215/2, -67/2)