which of the following are linear equations in x1, x2, x3?
a) x1 + 5x2 - sqrt2x3 = 1
b) x1 +3x2 + x1x3 = 2
c) x1 = -7x2 + 3x3
d) x1^-2 + x2 +8x3 = 5
e) x1^3/5 - 2x2 + x3 = 4
f) pix1 - sqrt2x2 + 1/3x3 = 7^1/3

ans = a) c) f)

Please help, I dont understand how to do this

Question

which of the following are linear equations in x1, x2, x3?
a) x1 + 5x2 - sqrt2x3 = 1
b) x1 +3x2 + x1x3 = 2
c) x1 = -7x2 + 3x3
d) x1^-2 + x2 +8x3 = 5
e) x1^3/5 - 2x2 + x3 = 4
f) pix1 - sqrt2x2 + 1/3x3 = 7^1/3

ans = a) c) f)

Please help, I dont understand how to do this

anonymous · Answer

A, C and F are correct. Linear means x1, x2 and x3 must be raised to no powers.

anonymous · Answer

so aslong as their are no exponents its linear?

anonymous · Answer

Yes.

anonymous · Answer

is there any way to show my work for this?

anonymous · Answer

this is how the quesation is structured

anonymous · Answer

You can show other equations have exponents and therefore don't qualify as linear.

anonymous · Answer

ok thank you so much

anonymous · Answer

Also, one of the has x1*x3, which is also non linear.