Question

Solve the system with elimination 4x+3y=1 -3x-6y=3

Answer 1

Answer:

x = 1, y = -1

Step-by-step explanation:

If we have the two equations:

$4x+3y=1$ and $-3x - 6y = 3$, we can look at which variable will be easiest to eliminate.

$y$ looks like it might be easy to get rid of, we just have to multiply $4x+3y=1$  by 2 and y is gone (as -6y + 6y = 0).

So let's multiply the equation $4x+3y=1$  by 2.

$2(4x + 3y = 1)\\8x + 6y = 2$

Now we can add these equations

$8x + 6y = 2\\-3x-6y=3$

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$5x = 5$

Dividing both sides by 5, we get $x = 1$.

Now we can substitute x into an equation to find y.

$4(1) + 3y = 1\\4 + 3y = 1\\3y = -3\\y = -1$

Hope this helped!