Question

PLEASE HELP ME I NEED AN EXPLINATION. IXL KEEPS ON DROPKICKING ME AND IM RUNNING OUT OF TIME

Answer 1

`Answer: t=\boxed{5}\\.\ \ \ \ \ \ \ \ \ \ \ \ u=\boxed{9}`

Explanation:

If ΔGHI=ΔFDE ⇒ we get a system of equations:

`\displaystyle\\\left \{ {{5t+u+12=4u+2t\atop {u-2t+50=13u-9t-23}} \right. \\\\\\\\\left \{ {{3t-3u=-12\ (1)} \atop {7t-12u=-73\ (2)}} \right. \\`

Divide both parts of the equation (1) by 3:

`\displaystyle\\\left \{ {{t-u=-4} \atop {7t-12u=-73}} \right. \\\\\\\left \{ {{t=u-4} \atop -{7(u-4)-12u=-73}} \right. \\\\\\\left \{ {{t=u-4} \atop {7u+28-12u=-73}} \right. \\\\\\\left \{ {{t=u-4} \atop {-5u=-45\ (3)}} \right.`

Divide both parts of the equation (3) by (-5):

`\displaystyle\\\left \{ {{t=5} \atop {u=9}} \right.`