Posted by **Sideshow** on Sunday, June 14, 2009 at 12:50pm.

Determine the point of intersection.

(a) y = 4x + 6

y = -x + 1

(b) 2x + 5y = 10

x = 10

Please show how to get the point of intersection. thoroughly explain how to get point of intersection.

- Math-Linear Systems -
**Sideshow**, Sunday, June 14, 2009 at 1:02pm
can someone answer this?

- Math-Linear Systems -
**Quidditch**, Sunday, June 14, 2009 at 2:09pm
for (a), one method:

y = 4x + 6

y = -x + 1

For the standard equation, y = mx + b,

m is the slope. If m is the same for both equations, the lines are the same or parallel. If parallel, the will not intersect. This is not the case here. The lines do intersect.

There are two equations with two unknowns.

Solve for x and y.

One method, eliminate y by substitution, giving:

4x + 6 = -x + 1

Solve for x.

Then, substitute that value of x into either equation and solve for y.

- Math-Linear Systems -
**Sideshow**, Sunday, June 14, 2009 at 2:12pm
thanks

- Math-Linear Systems -
**Sideshow**, Sunday, June 14, 2009 at 2:19pm
( 1 , 0 ) POI for (a)

( 10 , 2 ) POI for (b)

- Math-Linear Systems -
**Quidditch**, Sunday, June 14, 2009 at 2:33pm
Checking (a) only, (1, 0) is not correct. To check your answer, substitute the values into either equation.

So, y = 4x + 6

substituting your (1,0) answer...

0 = 4(1) + 6

or

0 = 10

which is not equal

- Math-Linear Systems -
**Quidditch**, Sunday, June 14, 2009 at 2:38pm
A quick check of your answer for b shows a problem.

The second equation is:

2x + 5y = 10

Substituting the answer (10,2)...

2(10) + 5(2) = 10

or

20 + 10 = 10

Not correct

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