Question

Substitution y=2x - 6
y= 5x+8

Answer 1

x = 2

y = -2

Explanation:

Substitute equation 1 into equation 2 then solve for x:

2x - 6 = -5x + 8

7x = 14

x = 14/7 = 2

Now substitute x=2 into either equation to solve for y:

y = 2(2) - 6 = -2

Answer 2

The result can be shown in multiple forms.

Point Form: ( 2, − 2 )

Equation Form: x = 2 , y = − 2

Explanation:

1. Eliminate the equal sides of each equation and combine them.
2x − 6 = − 5x + 8

2. Solve 2x − 6 = −5x +8 for x.

x = 2

3. Evaluate y when x = 2.

y = − 2

The solution to the system is the complete set of ordered pairs that are valid solutions.

( 2, − 2 )

The result can be shown in multiple forms.

Point Form: ( 2, − 2 )

Equation Form: x = 2 , y = − 2