The solutions to the system of equations is [tex](3.8,-1.6)[/tex]
Explanation:
Given the system of equations are [tex]3y=-6x+18[/tex] and [tex]-35=-7x+5y[/tex]
We need to determine the solution to the system of equations.
Let us plot the equation [tex]3y=-6x+18[/tex] in the graph.
When [tex]x=0[/tex] , we get, [tex]3y=18 \implies y=6[/tex]
When [tex]y=0[/tex] , we get, [tex]-18=-6x \implies x=3[/tex]
Thus, the coordinates are (0,6) and (3,0)
Let us plot the equation [tex]-35=-7x+5y[/tex] in the graph.
When [tex]x=0[/tex] , we get, [tex]-35=5y \implies -7=y[/tex]
When [tex]y=0[/tex] , we get, [tex]-35=-7x \implies 5=x[/tex]
Thus, the coordinates are (0,-7) and (5,0)
The solution to the system of equations is the point of intersection of the two lines.
Thus, the lines intersect at the point [tex](3.824,-1.647)[/tex]
The approximate values of the point is [tex](3.8,-1.6)[/tex]
Thus, the solution is [tex](3.8,-1.6)[/tex]
