How do you solve the following system?: # 4x-5y=5 , 5y = x + 10 #

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Answer 1 · 2018-04-04T01:01:15

#x=5# and #y=3#.

Easiest way to solve this is by substitution.

Equation 1: #4x-5y=5#

Equation 2: #5y=x+10#

Solve Equation 2 for #x#

#x=5y-10#

Substitute this expression for #x# into Equation 1.

#4(5y-10)-5y=5#

Apply the distributive property.

#20y-40-5y=5#

Combine like terms.

#15y=45#

#y=3#

Substitute this value for #y# into Equation 2.

#5*3=x+10#

#x=5#