15 POINTS- What is the x and y intercept of:

1 answer:

4 0

To find the x intercept, sub in 0 for y and solve for x
3x - 2y= 18
3x- 2(0) = 18
3x = 18
x = 18/3
x= 6.....so the x int is (6,0)

To find the y int, sub in 0 for x and solve for y
3x - 2y = 18
3(0) - 2y= 18
-2y = 18
y = 18/-2
y = -9...so the y int is (0,-9)

and its as easy as that....

x - 3y = 0
x int = (0,0)
y int = (0,0)

2x + 5y = 15
x int = (7.5,0)
y int = (0,3)

3x - 2y = 7
x int = (7/3,0)
y int = (0,-7/2)

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<u>Answer:</u>

x = 4 (extraneous solution)

<u>Step-by-step explanation:</u>

$\frac { 4 } { x - 4 } = \frac { x } { x - 4 } - \frac { 4 } { 3 } \\ \frac { 4 } { x - 4 } - \frac { x } { x - 4 } = - \frac { 4 } { 3 } \\ \frac { 4 - x } { x - 4 } = - \frac { 4 } { 3 } \\ 3 ( 4 - x ) = - 4 ( x - 4 ) \\ 1 2 - 3 x = - 4 x + 1 6 \\ 4 x - 3 x = 1 6 - 1 2 \\ x = 4 \\$

This solution is extraneous. Reason being that even if it can be solved algebraically, it is still not a valid solution because if we substitute back $x=4$ , we will get two fractions with zero denominator which would be undefined.