Answer: The following system of equations satisfies the given condition:
[tex]y=-\frac{1}{2}x\\y=-1.0\overline{5}x+1\\[/tex]
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.
[tex]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=-\frac{1}{2}\\\implies a_2=-1/9/1.8=-1.0\overline{5}\\y=-\frac{1}{2}x\\y=-1.0\overline{5}x+1\\[/tex]
Answer:
[tex]x + y = 0.9[/tex]
[tex]x - y = 2.7[/tex]
Step-by-step 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 = ?
[tex]x + y = 1.8 - 0.9 = 0.9[/tex]
[tex]x - y = 1.8 - (-0.9) = 2.7[/tex]
