Answer:
(-1, 0)
I will solve your system by substitution.
(You can also solve this system by elimination.)
2x+y=−2;−3x+2y=3
Step: Solve2x+y=−2for y:
2x+y+−2x=−2+−2x(Add -2x to both sides)
y=−2x−2
Step: Substitute−2x−2foryin−3x+2y=3:
−3x+2y=3
−3x+2(−2x−2)=3
−7x−4=3(Simplify both sides of the equation)
−7x−4+4=3+4(Add 4 to both sides)
−7x=7
−7x
−7
=
7
−7
(Divide both sides by -7)
x=−1
Step: Substitute−1forxiny=−2x−2:
y=−2x−2
y=(−2)(−1)−2
y=0(Simplify both sides of the equation)
