Web Analytics
hear9ti1assenium
Answered

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?

Verified Answer :

Hope it cleared your doubt.

View image Anonymous

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.

View image flightbath

Related Questions