## anonymous one year ago 3x + 2y = 6 4x + y = 1 Solve the system of equations

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1. anonymous

from equation 2: y = 1 - 4x

2. anonymous

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

3. anonymous

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

4. anonymous

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

5. zzr0ck3r

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 $$y$$.