Answer:
x=-0.172, y=-2.733
Step-by-step explanation:
These types of equations are called simultaneous equations and the method we can use to solve these type of equations is either Substitution, Elimination and Graphing.
We use substitution here because it is easier.
[tex]1.8=5.4x-y\\[/tex] suppose this equation 1 and [tex]y=-3.8-6.2x[/tex] this equation 2
so lets take equation 1
[tex]1.8=5.4x-y\\\\y=5.4x-1.8\\[/tex]
This becomes our equation 3 , Now put equation 3 in equation 2 [tex]y=-3.7-6.2x\\[/tex]
now put equation 2 in it.
[tex]5.4x-1.8=-3.8-6.2x\\5.4x+6.2x=-3.8+1.8\\11.6x=--2\\x=\frac{-2}{11.6} \\x=-0.172\\[/tex]
we found the value of x now we need the value of y , for value of y we insert the value of x in equation 3
[tex]y=-3.8-6.2x\\y=-3.8-6.2(-0.172)\\y=-2.733[/tex]
Solved !
We can confirm our answer by sketching both the straight line graphs by the help of an online graphing calculator and where the both lines intersect is our answer. I have attached an image so you can check it out.
