SOLUTION: Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 2−x and y = 4x + 3 intersect are the solutions of the equation 2−x = 4x + 3.

Algebra ->  Graphs -> SOLUTION: Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 2−x and y = 4x + 3 intersect are the solutions of the equation 2−x = 4x + 3.       Log On


   

Question 1063508: Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 2−x and y = 4x + 3 intersect are the solutions of the equation 2−x = 4x + 3.
Part B: Make tables to find the solution to 2−x = 4x + 3. Take the integer values of x only between −3 and 3.
Part C: How can you solve the equation 2−x = 4x + 3 graphically?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Given system of equations, system%28y=2-x%2Cy=4x%2B3%29

The two expressions for y must be equal.
2-x=4x%2B3
4x%2B3=2-x
5x%2B3=2
5x=2-3
5x=-1
x=-1%2F5
-
y=2-x
y=2-%28-1%2F5%29
y=2%2B1%2F5
y=11%2F5
-
Point of intersection is at system%28x=-1%2F5%2Cand%2Cy=11%2F5=2%261%2F5%29.


graph%28300%2C300%2C-3%2C3%2C-3%2C3%2C2-x%2C4x%2B3%29