Friday

January 30, 2015

January 30, 2015

Posted by **Tiff** on Tuesday, October 26, 2010 at 12:42am.

6 x−12 y=−6

58 x+a y=−58

What is this exceptional value for a?

- math -
**jai**, Tuesday, October 26, 2010 at 12:57amunique solution means the lines intersected at only one point (intersecting lines),, thus lines that do not intersect don not have a solution (parallel lines)

if two lines are parallel, then their slopes must be equal,, thus get their slopes by writing them into the form:

y = mx + b

where m = slope, and b = y-intercept

*for 6x − 12y = −6,

6x − 12y = −6

-12y = -6 - 6x

y = (1/2)x + (1/2)

thus m = 1/2

*for 58x+ ay = −58,

58x+ ay = −58

ay = -58 - 58x

y = (-58/a)x - 58/a

thus m = -58/a

equating and solving for a:

1/2 = -58/a

a = -116

so there,, :)

**Answer this Question**

**Related Questions**

biology - Given the part of the molecule shown below, can the underlined atom ...

math - the system of linear equations below has a unique solution for all but ...

Finite Math - Solve the system of linear equations, using the Gauss-Jordan ...

MATH - For what integer 0<n<1000, does the following system of n linear ...

Math - Find a system of linear equations corresponding to the following ...

Calc. - I am so confused with this last part of the unit! What in the world is ...

Grade 12 Calculus - Evaluate each of the following. Show all your calculations...

mathematics - x,y and z are complex numbers that satisfy the equations x+y+z=2, ...

calculus (gr 12) - Evaluate each of the following. Show all your calculations. a...

calculus (gr 12) - Evaluate each of the following. Show all your calculations. a...