Question

4x + 6y = 9

2x = 4 - 3y

Please explain how you got your answer please. it’ll help me.

Answer 1

The answer is no solutions.

Explanation:

use systems of equations!

first, rewrite both equations so that the sum or difference includes the same variable.

`9-4x=6y\\-4+2x=-3y`

notice how i made sure the coefficients that have x and y respectively line up.

with this, i can cancel out the x variables by making 2, and -4 as -8 (8+-8=0).

rewrite the equation.

`2(9-4x=6y)\\4(-4+2x=-3y)\\`

distribute.

`18-8x=12y\\-16+8x=-12y`

now we can successfully cancel out the x variable!

`18=12y\\-16=-12y`

uh oh! it seems we can also cancel out the y variables..

`18=0\\-16=0`

18 is not equal to 0 and neither is -16. because of this, we can conclude there is no solution for this system of equations.

hope this helps!!