- 3x + y = 6 is the new equation that has exactly one solution in common with Elena's equation. .A equation is said to have exactly one solution with this, if the set of equations meet at a point, or have a unique point of intersection. This only happens when the coefficient of x and the coefficient of y are different in the new equation. Solving these pair of equations gives us (1,2) as a unique point.
- 6x + 2y = 8 is the new equation which has no solutions in common with Elena's equation. An equation is said to have no solutions when the coefficients of both x and y are the same but the constant is different.
- 6x + 2y = 12 is the equation that has infinitely many solutions in common with Elena's equation. An equation is said to have infinitely many solutions if the result will be 0=0.

I found an answer from www.quora.com

**A** mother is three times as old as her daughter. Six years ago, she ...

with **a** year **having 12** months, 1/3 of it is 4 months. Thus the ... subtract d+10 from
**each** side to get 2d=10 so d=5 plug into first **equation** to get m=25 years old.

For more information, see **A** mother is three times as old as her daughter. Six years ago, she ...

I found an answer from i.stanford.edu

COMPREHENSIVE EXAMINATIONS IN COMPUTER SCIENCE ...

computer science, that we wished **each** graduate student to **have**. ... nonlinear
**equation** solvers, influence of arithmetic on algorithms, sparse linear ... Show that
for **each** of the three **common fixed** point binary **number** representations (signed
... You need only outline your **solution**, but you must **give a** brief **description** of
any ...

For more information, see COMPREHENSIVE EXAMINATIONS IN COMPUTER SCIENCE ...

Please take a look at the following discussion

https://www.qalaxia.com/questions/Mai-writes-the-equation-math10x-5y-15math-Write-a-new

As far as this particular question is concerned, please note that any other straight line will intersect 6x+2y=12 at exactly one point (has one solution in common), will intersect at exactly zero points (i.e has zero solutions in common and is parallel), or will intersect at infinitely many points (i.e. has infinitely many solutions and is lying right on top of this line).

Therefore, any line that has a different slope than 6x+2y=12 will intersect at exactly one point, has the same slope as this line (i.e. is parallel), but cannot be reduced to this line will intersect at zero points, and any line that can be reduced to this line will intersect at infinitely many points.

I found an answer from www.qalaxia.com

**ccss**.**hsf**-**if**.a.**2**.**q**.**a1**.**ifn**.**3** - Function **f** gives the temperature in degrees ...

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equation that represents a statement illustrative **mathematics high**-**school**
Algebra.

For more information, see **ccss**.**hsf**-**if**.a.**2**.**q**.**a1**.**ifn**.**3** - Function **f** gives the temperature in degrees ...