Answer:
solution: x= 0.273, y= 1.909.
Step-by-step explanation:
- given system of linear equations : x+3y=64x−6y=6
- these can also be splitted or written individually as:
x+3y=6 & 64x−6y=6
- the first equation can also be written as, [tex]y=2-\frac{x}{3}[/tex]
so, it is line with slope : -1/3 and y-intercept :2
- the second equation can also be written as, [tex]y=\frac{32x}{3} -1[/tex]
so, it is line with slope : 32/3 and y-intercept : -1
- now we can easily draw graphs for these equations using the above interpretation.
- graph is in the attachment.
- so, the solution is: x= 0.273, y= 1.909.