# How do you solve the following system?: # -x+4y=8 , x=2y+1 #

##### 3 Answers

#### Answer:

See a solution process below:

#### Explanation:

**Step 1)** Because the second equation is already solved for

**Step 2)** Substitute

**The Solution Is:**

#### Answer:

#### Explanation:

#-color(red)(x)+4y=8to(1)#

#color(red)(x)=2y+1to(2)#

#"substitute "color(red)(x)=2y+1" into "(1)#

#rArr-(2y+1)+4y=8#

#rArr-2y-1+4y=8#

#rArr2y=9rArry=9/2#

#"substitute this value into "(2)#

#rArrx=(2xx9/2)+1=9+1=10#

#color(blue)"As a check"#

#"substitute these values into "(1)#

#-10+(4xx9/2)=-10+18=8larr" True"#

#rArr"point of intersection "=(10,9/2)#

#### Answer:

#### Explanation:

Notice that the

Change the second equation into the same form so we have:

Substitute this value for

Check in the other equation: