Question

How many solutions does the system have?

x = -4y + 4
2x + 8y = 8
A. one solution
B. two solutions
C. infinitely many solutions
D. no solution

Answer 1

Multiplying the first equation by 2:\[2x = -8y + 8 \]

Answer 2

Also, subtracting 8y from both sides in the second equation:\[2x = -8y + 8\]

Answer 3

There is a lot of solutions

Answer 4

We now have the following equations:\[2x = -8y + 8\\2x = -8y + 8\]

Answer 5

A lot? Uncountable! Infinity!

Answer 6

lol

Answer 7

yes a very lot

Answer 8

A lot lot lot lot!

Answer 9

You can see that without solving the system.

Answer 10

You can mentally arrange the unknows at the left hand side.
and see that the second equation is the first one multiplied by 2

Answer 11

so you have only one equation with two unknows. that means a lot of solutions.