Question

3x + 2y = 6
4x + y = 1
Solve the system of equations

Answer 1

from equation 2:
y = 1 - 4x

Answer 2

substitute y= 1- 4x in equation 1:
3x + 2(1-4x) = 6

Answer 3

simplifying will give us
3x + 2 -8x = 6
-5x = 4
x = -4/5 = -0.8

Answer 4

now substitute x = -4/5 either to equation 1 or 2:
then you will get the value of y

Answer 5

There is another way, and I think it is often easier

\(3x+2y=6\\4x+y=1\)

Multiply the second equation by \(-2\) and we get

\(3x+2y=6\\-8x+-2y=-2\).

Now add the two equations together.

\(-5x=4\implies x=-\frac{4}{5}\)

Now plug this into anything with an \(x\) and \(y\) to solve for \(y\).