Question

Solve the system of equations by substitution.
y=-1/2x-7
2 x - y = -16

Answer 1

Point Form:

( − 46 /3 , − 44 /3 )

Equation Form:

x = − 46 /3 , y = − 44 /3

Explanation:

Combine 1 /2 and x .

y = x /2 − 7

2 x − y = − 16

Replace all occurrences of y in 2 x − y = − 16 with x /2 − 7 .

y = x /2 − 7

2 x − ( x /2 − 7 ) = − 16

Simplify

2 x − ( x /2 − 7 ) .

y = x /2 − 7

3 x /2 + 7 = − 16

Solve for

x

in the second equation.

y = x /2 - 7

x = − 46 /3

Replace all occurrences of x in y = x /2 − 7 with − 46 /3 .

y = − 46 /3 /2 − 7

x = − 46 /3

Simplify − 46 /3 /2 − 7 .

y = − 44 /3

x = − 46 /3

The solution to the system of equations can be represented as a point.

( − 46 /3 , − 44 /3 )

The result can be shown in multiple forms.

Point Form:

( − 46 /3 , − 44 /3 )

Equation Form:

x = − 46 /3 , y = − 44 /3