Question

x/2 + y = 5
x - 3y = 5
alguém me ajuda por favor

Answer 1

(x, y) = (8, 1)

$\Large{\sf{\Huge ▱▰▱▰▱▰▱▰▱▰▱▰▱}}$

$\sf \Large\begin{cases} \sf \red{\frac{x}{2} }+ \green{y } = \blue{ 5} \\ \sf \pink{ x } \purple{ - } \orange{ 3y } \red{= } \green{5 } \end{cases}$

$\:$

$\sf \red{ \frac{x}{2} } \green{+ } \blue{ y } \pink{ = } \purple{ 5} \\ \sf \orange{ y} \red{ = } \green{ 5 } \blue{ - } \pink{ \frac{x}{2} }$

$\:$

$\sf \red{ x} \green{ - } \blue{ 3 } \pink{ (5 } \purple{- } \orange{ \frac{x}{2}) } \red{= } \green{ 5 } \\ \sf \blue{ x } \pink{ - } \purple{15 } \orange{ +} \red{ \frac{3x}{2} } \green{ = } \blue{ 5}\\ \sf \pink{\frac{5}{2} } \purple{x } \orange{- } \red{ 15 } \green{= } \blue{ 5} \\ \sf \pink{ 5x } \purple{- } \orange{ 30 } \red{ = } \green{ 10} \\ \sf \blue{ 5x } \pink{ =} \purple{ 10 } \orange{+ } \red{ 30 }\\ \sf \green{ 5x } \blue{ = } \pink{ 40 } \\ \sf \purple{ x } = \orange{ \frac{40}{5} }\\ \sf\Huge\boxed{\large\boxed{ \sf\blue{x} = \red{8}}}$

$\:$

$\sf \red{ \frac{(8)}{2} } \green{ + } \blue{y } \pink{= } \purple{ 5 } \\ \sf \orange{4 } \red{+ } \green{ y } \blue{ = } \pink{ 5 } \\ \sf \purple{ y} \orange{ = } \red{ 5 } \green{ - } \blue{ 4 } \\ \sf \Huge\boxed{\large \boxed{\sf\pink{ y } \purple{ = } \orange{ 1 }}}$