Question

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?

Answer 1

Hope it cleared your doubt.

Answer 2

Answer:

Step-by-step explanation:

We have been given two equations:

$y=4-x$

And $y=2x+3$

Part A: The solution to the equation is the point where they intersect because both lines will satisfy the given equation at that intersection point.

Part B: Now, we will solve $4-x=2x+3$

Collect like terms on one side of the equation so we get:

$2x+x=4-3$

$\Rightarrow 3x=1$

$\Rightarrow x=\frac{1}{3}$

Part C: we have to solve the equation graphically please look at the attachment for the solution graphically.

The intersection point is the solution of the two equations.