What do we call this type of equation? (ar^7 = 384, ar^4 = 48)

[chijioke]

This is simultaneous equation that can be solved using either elimination or substitution method:
[math]a + 8 d = 29 \\ a + 21 d = 55[/math]

Here is another equation :
[math]a r ^ { 7 } = 384 \\ a r ^ { 4 } = 48[/math]What do we call it? Is it still simultaneous equations or something else?
I want to state that I have no problem solving any of the equations.
The problem is what is the name of the last one?-
[math]a r ^ { 7 } = 384 \\ a r ^ { 4 } = 48[/math]

 

[MarkFL]

They are still simultaneous, just not linear.

 

[Steven G]

As MarkFL basically said the topic for the last problem is solving non-linear simultaneous equations

 

[stapel]

This is simultaneous equation that can be solved using either elimination or substitution method:
[math]a + 8 d = 29 \\ a + 21 d = 55[/math]

"This" is singular.

"This" is not a single equations; it is a system of two equations. "This" is a *system* of linear equations, meaning that the linear equations are dealt with together (that is, simultaneously).

Here is another equation :
[math]a r ^ { 7 } = 384 \\ a r ^ { 4 } = 48[/math]What do we call it? Is it still simultaneous equations or something else?

"This" is not a single equation; it is a system of two equations. "This" is a *system* of exponential equations are dealt with together (that is, simultaneously).

Eliz.