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. (4 points)

Part B: Make tables to find the solution to 4−x = 2x + 3. Take the integer values of x between −3 and 3. (4 points)

Part C: How can you solve the equation 4−x = 2x + 3 graphically?

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. (4 points)

Part B: Make tables to find the solution to 4−x = 2x + 3. Take the integer values of x between −3 and 3. (4 points)

Part C: How can you solve the equation 4−x = 2x + 3 graphically?

3mar · Answer

Could I help you?

kpop4life123 · Answer

yes please

3mar · Answer

Of course.
That is with my pleasure!

For part A:
Do you like to solve these two equation by elimination or substitution?

kpop4life123 · Answer

substitution

3mar · Answer

For you to know:
We can use either substitution where we plug one equation into the other, or elimination where we combine the equations.

kpop4life123 · Answer

oh ok then elimination

3mar · Answer

No problem with me...
substitution or elimination .... the one you are familiar and interested in!

- Using elimination, you would to eliminate one variable from both equations, so you automatically would get one equation with one variable!
-Using substitution means you are going to solve one equation for one variable and substitute with its value in the other equation in order to get also an equation with one variable.

kpop4life123 · Answer

thanks and yes i'd go with elimination

3mar · Answer

That is good so for!

So elimination it is.

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Can you subtract the second equation from the first one?