7. What is the system of equations that describes the following graph?

The system of equations that describes the graph is:

x + y = 3

2x + 2y = 1

Step-by-step explanation:

Parallel lines have:

Same slopesDifferent y-interceptsThe system of equations which represent them is y = m x + b and y = m x + c, where b and c are the y-intercepts

Let us find the equation of each line

∵ The solid line passes through points (3 , 0) and (0 , 3)

∵ m = Δy/Δx

∴ Δy/Δx =  

∴ m = -1

∵ b is the y-intercept (value y at x = 0)

∵ y = 3 at x = 0

∴ b = 3

∴ y = - x + 3

- Add x to both sides

∴ x + y = 3 ⇒ (1)

∵ The dashed line passes through points (0.5 , 0) and (0 , 0.5)

∵ m = Δy/Δx

∴ Δy/Δx =  

∴ m = -1

∵ b is the y-intercept (value y at x = 0)

∵ y = 0.5 at x = 0

∴ b = 0.5

∴ The equation of the line is y = - x + 0.5

- Add x to both sides

∴ x + y = 0.5

- Multiply both sides by 2

∴ 2x + 2y = 1 ⇒ (2)

The system of equations that describes the graph is:

x + y = 3

2x + 2y = 1

128/3reason being 5 and 1/3 = 16/316/3 • 2/3 = 32/31 and 1/3 = 4/3 32/3 • 4/3 this will equal 128/3

6x - 3y = by 2-2x + 6y = 1412x - 6y = 6 (result of multiplying by 2)-2x + 6y = 1410x = 20x = 20/10x = 26x - 3y = 36(2) - 3y = 312 - 3y = 3-3y = 3 - 12-3y = - 9y = -9/-3y = 3solution is (2,3) < ==