Question

Use the method of ELIMINATION to solve the system. You must SHOW ALL WORK. Make sure you have an answer for both x and y.

X: 4x+8y=20
y: -4x+2y=-30
Thank you.

Answer 1

Answer:

Required Answer:-

$\sf 4x+8y=10\dots\dots (1)$

$\sf -4x+2y=-30\dots\dots (2)$

• by adding eq (1) and eq (2) we get

${:}\longrightarrow$$\sf 4x+8y=20$

${:}\longrightarrow$$\sf -4x+2y=-30$

__________________________

${:}\longrightarrow$$\sf 10y=-10$

${:}\longrightarrow$$\sf y={\dfrac {-10}{10}}$

${:}\longrightarrow$${\underline{\boxed{\bf y=-1}}}$

• Substitute the value in eq (2)

${:}\longrightarrow$$\sf -4x+2 (-1)=-30$

${:}\longrightarrow$$\sf -4x-2=-30$

${:}\longrightarrow$$\sf -4x=-30+2$

${:}\longrightarrow$$\sf -4x=-28$

${:}\longrightarrow$$\sf x={\dfrac {-28}{-4}}$

${:}\longrightarrow$${\underline{\boxed{\bf x=7}}}$

$\therefore$${\underline{\boxed{\bf (x,y)=(7,-1)}}}$

Answer 2

(7,-1) will be you’re answer