Answer :
Answer:
x=-3,y=-2
Step-by-step explanation:
Given 2 expressions
S1:[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 S2
⇒[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 S2
Here i am substituting in S2
⇒[tex]x+2y=-7\\-3+2y=-7\\2y=(-7+3)\\2y=-4\\y=-2[/tex]
Therefore x=-3 and y=-2