Question

Resolva o sistema abaixo a)3x +y=8 x +3y=6

Answer 1

• 3x + y = 8
• x + 3y = 6

Solve for y in the first equation.

1. Subtract 3x from both sides.
2. y = 8 - 3x
3. Plug y into the second equation.

x + 3(8 - 3x) = 6

1. Distribute 3 inside the parentheses.
2. x + 24 - 9x = 6
3. Combine like terms.
4. -8x + 24 = 6
5. Subtract 24 from both sides.
6. -8x = -18
7. Divide both sides by -8.
8. x = 18/8 = 9/4
9. Plug x into the first equation.

3(9/4) + y = 8

1. Multiply 3 and 9/4.
2. 6.75 + y = 8
3. Subtract 6.75 from both sides.
4. y = 1.25 = 5/4

Your answers are:

• x = 9/4 or 2.25
• y = 5/4 or 1.25