Question

Solve graphically the system of equations: x + y = 4 3x – 2y = 2

Answer 1

Answer:

Answer:

x=2 and y=2

Step-by-step explanation:

Let's solve your system by substitution.

x+y=4;3x−2y=2

Step: Solvex+y=4for x:

x+y=4

x+y+−y=4+−y(Add -y to both sides)

x=−y+4

Step: Substitute−y+4forxin3x−2y=2:

3x−2y=2

3(−y+4)−2y=2

−5y+12=2(Simplify both sides of the equation)

−5y+12+−12=2+−12(Add -12 to both sides)

−5y=−10

−5y

−5

=

−10

−5

(Divide both sides by -5)

y=2

Step: Substitute2foryinx=−y+4:

x=−y+4

x=−2+4

x=2(Simplify both sides of the equation)

Answer:

x=2 and y=2