Question

Someone help me with this word problem please

Answer 1

Answer:

Therefore,

x = -13 , y = 17 or x = 12 , y = 42

Step-by-step explanation:

First, you have to form equation in terms of x and y. With the given informations, the equations will be :

$x - y = - 30$

${x}^{2} + (y + 3) = 189$

Next, you have to solve it by substitution :

$x = - 30 + y - - - (1)$

${x }^{2} + (y + 3) = 189 - - - (2)$

$(1)→(2)$

${( - 30 + y)}^{2} + (y + 3) = 189$

$900 - 60y + {y}^{2} + y + 3 = 189$

${y}^{2} - 59y + 714 = 0$

$(y - 42)(y - 17) = 0$

$y = 17 \: \: or \: \: 42$

$sub \: \: y = 17 \: \: into \: \: (1)$

$x = - 30 + 17 = - 13$

$sub \: \: y = 42 \: into \: \: (1)$

$x = - 30 + 42 = 12$