Q:

SUPER URGENT!!!!!!!! I NEED HELP!!!!!1 PLSSSS!!!!!Use the linear combination method to solve the system of equations. Explain each step of your solution. 3x-8y=7" " " " x+2y=-7

Accepted Solution

A:
Answer:x=-3,y=-2Step-by-step explanation:Given 2 expressionsS1:[tex]3x-8y=7[/tex]S2:[tex]x+2y=-7[/tex]Write one equation in terms of any variable (x or y)Here I am writing S1 in terms of y[tex]3x-8y=7\\3x-7=8y\\y=\frac{3x-7}{8}[/tex]Substitute this value of y as the value of y in S2β‡’[tex]x+2y=-7\\x+(\frac{3x-7}{8} )\times2=-7\\8x+6x-14=-56\\14x=-42\\x=-3[/tex]Therefore [tex]x=-3[/tex]Substitute this value of x in any of the expressions S1 or S2Here i am substituting in S2β‡’[tex]x+2y=-7\\-3+2y=-7\\2y=(-7+3)\\2y=-4\\y=-2[/tex]Therefore x=-3 and y=-2