Question

Solve the following system of equations

Answer 1

Answer:

x = -9

y = -3

Step-by-step explanation:

We can first multiply the 2nd equation by -6, so we have:

$-6*[-0.8x+0.4y=6]\\=4.8x-2.4y=-36$

Now, we add up this equation to the 1st equation given to eliminate y and solve for x. Shown below:

$1.2x+2.4y=-18\\4.8x-2.4y=-36\\---------\\6x=-54\\x=-9$

So, we have the value of x to be -9

Now, we substitute this value in 1st equation and solve for y:

$1.2x+2.4y=-18\\1.2(-9)+2.4y=-18\\-10.8+2.4y=-18\\2.4y=-7.2\\y=-3$

The value of y is -3

So,

x = -9

y = -3