How do you solve the following system: #3x + 4y = 11 , x-10y=10 #?

2 Answers

Answer:

Hence the solution is
#-=(x,y)=-=(4.41,-0.559#

Explanation:

#3x+4y=11#-----(1)
#x-10y=10#-----(2)
#x+1.333y=3.667#------(3)=(1)/3
#-11.333y=6.333#-----(4)=(2)-(3)
#y=-0.559#-------(5)=(4)/-11.333
Substituting in (2)
#x-10xx(-0.559)=10#
#x+5.590=10#
#x=10-5.59#
#x=4.41#
Check:
#3x+4y=3(4.41)+4(-0.559)=11#verified
#4.41-10(-0.559)=10#verified
Hence the solution is
#-=(x,y)=-=(4.41,-0.559#

Mar 2, 2018

Answer:

#x = 75/17#, #y = -19/34#

Explanation:

(1) #3x+4y=11#
(2) #x-10y =10#

Solving (2) for x:
(3) #x = 10y+10#

Substituting (3) into (1):
#3(10y+10)+4y=11#

#30y+30+4y=11#

#34y=-19#

(4) #y = -19/34#

Substituting (4) into (2):
#x-10(-19/34)=10#

#x+95/17 = 170/17#

#x = 75/17#

(5) #x = 75/17#