Find the x-intercept of the graph of each equation. a. 3x+2y=7 b. 2x+3y=7

Mathematics · High School · Thu Feb 04 2021

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Given the equation:

3x + 2y = 7

2x + 3y = 7

Find the x-intercept.

Solution:

In order to find the x-intercept of an equation, we equate y to 0, then solve for x. 

3x + 2(0) = 7
3x = 7

Divide both sides by 3 in order to determine the value of x.

3x/3 = 7/3
x-intercept= 7/3

2x + 3(0) = 7
2x =7
2x/2 = 7/2
x -intercept = 7/2

Final answer:

x-intercept = 7/3
x-intercept = 7/2
 

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