Question

Solve the system. Y = 1/2x - 3 Y= 4 + 1/2x

Answer 1

x = 13, y = 7/2 (You can check this yourself by plugging in the numbers yourself.)

Explanation:

Answer 2

y=

1

2

x;−3y=4+

1

2

x

Rewrite equations:

y=

1

2

x;−3y=

1

2

x+4

Step: Solvey=

1

2

xfor y:

y=

1

2

x

Step: Substitute

1

2

xforyin−3y=

1

2

x+4:

−3y=

1

2

x+4

−3

1

2

x=

1

2

x+4

−3

2

x=

1

2

x+4(Simplify both sides of the equation)

−3

2

x+

−1

2

x=

1

2

x+4+

−1

2

x(Add (-1)/2x to both sides)

−2x=4

−2x

−2

=

4

−2

(Divide both sides by -2)

x=−2

Step: Substitute−2forxiny=

1

2

x:

y=

1

2

x

y=

1

2

(−2)

y=−1(Simplify both sides of the equation)

Answer:

x=−2 and y=−1

Explanation:

Sorry if it is too confusing