Answer:
The two points solutions to the system of equations are: (2, 3) and (-1,6)
Step-by-step explanation:
These system of equations consists of a parabola and a line. We need to find the points at which they intersect:

Since we were able to factor out the quadratic expression, we can say that the x-values solution of the system are:
x = 2 and x = -1
Now, the associated y values we can get using either of the original equations for the system. We pick to use the linear equation for example:
when x = 2 then 
when x= -1 then 
Then the two points solutions to the system of equations are: (2, 3) and (-1,6)
Answer:
1/9x - y = -5
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
Standard Form: Ax + By = C
Slope-Intercept Form: y = mx + b
Step-by-step explanation:
<u>Step 1: Define equation</u>
Slope-Intercept Form: y = 1/9x + 5
<u>Step 2: Find Standard Form</u>
- Subtract 1/9x on both sides: -1/9x + y = 5
- Multiply -1 on both sides: 1/9x - y = -5
Answer:
33 miles per 1 gallon
Step-by-step explanation:
Answer:
y = 2
Step-by-step explanation:
Given
y + (4 - 2y) = 2 ← remove parenthesis on left side
y + 4 - 2y = 2, that is
- y + 4 = 2 ( subtract 4 from both sides )
- y = - 2 ( multiply both sides by - 1 )
y = 2