Question

What system of equations has a solution of approximately 1.8, -0.9

Answer 1

Answer: The following system of equations satisfies the given condition:

`y=-(1)/(2)x\\y=-1.0\overline{5}x+1\\`

However, please note that given no choice from a list, there are infinitely many equation systems that have the solution (1.8,-0.9). Please see details below. I made one particular choice to answer your question, but it is just one of many. If this is a multiple choice, you will need to post the possibilities as well.

`y=a_1x+b_1\\y=a_2x+b2\\(x,y)=(1.8,-0.9)\\-0.9=a_11.8+b_1\\-0.9=a_21.8+b_2\\b_1=b_2=1:\\-0.9=a_11.8\\-0.9=a_21.8+1\\\implies a_1=-0.9/1.8=-(1)/(2)\\\implies a_2=-1/9/1.8=-1.0\overline{5}\\y=-(1)/(2)x\\y=-1.0\overline{5}x+1\\`

Answer 2

`x + y = 0.9`

`x - y = 2.7`

Explanation:

There are infinite systems with these solutions, of x = 1.8 and y = -0.9.

I am going to build a very simple one

x + y = ?

x - y = ?

`x + y = 1.8 - 0.9 = 0.9`

`x - y = 1.8 - (-0.9) = 2.7`