Question

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. (4 points)

@Directrix Could you help ill give metal out

Answer 1

and become fan @Directrix

Answer 2

y = 2-x and y = 4x + 3

First, find the x-coordinate of the point of intersection of the lines with equations

y = 2-x and y = 4x + 3.

Then, show that the values of x makes 2-x = 4x + 3 true.

Answer 3

hey is it possibel if you could help me with part B and C?

Answer 4

Where do these lines intersect: y = 2-x and y = 4x + 3

y = 2-x
y = 4x + 3
========

Substitute 2 - x for y in the second equation.

2-x = 4x + 3 ==> @rosiee123 --> See if you can solve this equation for x, Okay?
Post what you get.

Answer 5

You are solving this for x: 2-x = 4x + 3

Answer 6

i really dont know how to do it:P

Answer 7

2 -x = 4x + 3
-2 -2
================
0 - x = 4x + 1 ---> Do you agree with subtracting 2 from both sides?

Answer 8

@rosiee123

Answer 9

0 - x = 4x + 1
-4x -4x
----------------

-5x = 1

x = ? @rosiee123

Answer 10

@rosiee123 You must post in the thread and respond to questions.

It is okay if you post wrong answers but you must participate or I cannot help you.

Answer 11

Let me complete this and maybe you can use it as a pattern for other problems like it.

Answer 12

-5x = 1

so x = -1/5

Answer 13

So , now show that x = -1/5 is a solution of the equation: 2-x = 4x + 3.
-------------------------------------------------------------------

Strategy: In 2-x = 4x + 3, replace x by - 1/5 and show that both sides of the equation are equal.

2-x 4x + 3

2 - (-1/5) 4(-1/5) + 3

2 + 1/5 -4/5 + 3

2 1/5 = 2 1/5

The two sides of the equation are both equal to the mixed number 2 1/5 which can be written as 11/5.

So, the x-coordinate of the solution of the system of equations is the value of x that makes the equation true. @rosiee123