Question

HELP WITH 10 QUESTIONS?!?! HERE IS THE FIRST 1.

Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 4-x and y = 2x + 3 intersect are the solutions of the equation 4-x = 2x + 3.
Part B: Make tables to find the solution to 4-x = 2x + 3. Take the integer values of x between -3 and 3.
Part C: How can you solve the equation 4-x = 2x + 3 graphically?
A system of equations is shown below.
5x - 5y = 10
3x - 2y = 2

Answer 1

5x - 5y = 10
x - y = 2 . . . (1)
3x - 2y = 2 . . . (2)

(1) x 3 => 3x - 3y = 6 . . . (3)
(2) - (3) => y = -4

From (1), x - (-4) = 2
x = 2 - 4 = -2

Solution is (-2, -4)