Show How To Solve By Substitution Method 8x+5y=184,x-y=3 Please Break Down?

Question

Show How To Solve By Substitution Method 8x+5y=184,x-y=3 Please Break Down?

3 Answers

Answer Question

Answer 1

8x+5y=184 equ 1
x- y= 3 equ 2
from equ 2 make x the subject
x - y = 3
x= 3+y equ 3
subtittude equ 3 into equ 1
8(3 + y ) +5y = 184
24+8y+5y =184
collect like terms
8y + 5y = 184 - 24
13y = 160divide both sides by 13
therefor y = 12.3
subtitude y = 12.3 into equ 3
x = 3+y
x = 3 + 12.3
x=15.3
y = 12.3 while x = 15.3

Answer 2

Anonymous answered

Y + 2x = 3 y + 2x = -4

Answer 3

Solve the second equation for x by adding y to both sides. X - y = 3 x = 3 + y Now use this expression for x in the first equation and solve for y. 8x + 5y = 184 8(3 + y) + 5y = 184 (where x was we now have 3+y. This is the substitution.) 24 + 8y + 5y = 184 (use the distributive property to eliminate parentheses) 13y = 160 (subtract 24 from both sides) y = 160/13 = 12 4/13 x = 3 + y = 3 + 12 4/13 = 15 4/13

(x, y) = (15 4/13, 12 4/13)

Check 8x + 5y = 184 8(15 4/13) + 5(12 4/13) = 184 120 + 32/13 + 60 + 20/13 = 184 180 + 52/13 = 184 180 + 4 = 184 (yes, first equation checks) x - y = 3 15 4/13 - 12 4/13 = 3 (yes. We know this because we used this second equation to get x.)