# How do you solve the system of equations #x+ y = 8# and #- 2x + 3y = 9#?

##### 1 Answer

Aug 6, 2018

#### Answer:

#### Explanation:

#"we can use the "color(blue)"substitution method"#

#x+y=8to(1)#

#-2x+3y=9to(2)#

#"from "(1)tox=8-yto(3)#

#"substitute "x=8-y" into equation "(2)#

#-2(8-y)+3y=9#

#-16+2y+3y=9#

#"add 16 to both sides"#

#5y=9+16=25#

#"divide both sides by 5"#

#y=25/5=5#

#"substitute "y=5" into equation "(3)#

#x=8-5=3#

#"point of intersection is "(3,5)#

graph{(y+x-8)(y-2/3x-3)=0 [-10, 10, -5, 5]}