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Mathematics
14 September, 03:42
Resolva o sistema abaixo a) 3x + y=8 x + 3y=6
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Ashton
14 September, 04:08
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3x + y = 8 x + 3y = 6
Solve for y in the first equation.
Subtract 3x from both sides. y = 8 - 3x Plug y into the second equation.
x + 3 (8 - 3x) = 6
Distribute 3 inside the parentheses. x + 24 - 9x = 6 Combine like terms. - 8x + 24 = 6 Subtract 24 from both sides. - 8x = - 18 Divide both sides by - 8. x = 18/8 = 9/4 Plug x into the first equation.
3 (9/4) + y = 8
Multiply 3 and 9/4. 6.75 + y = 8 Subtract 6.75 from both sides. y = 1.25 = 5/4
Your answers are:
x = 9/4 or 2.25 y = 5/4 or 1.25
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