Given:
[tex]y=3x-5\text{ and y=-6x+4}[/tex]
Aim:
We need to find the solution to the given system of equations.
Explanation:
Consider the equation y =3x-5.
Substitute y =-6x+4 in the equation y =3x-5.
[tex]-6x+4=3x-5[/tex]
Solve for x.
Add 6x to both sides of the equation.
[tex]-6x+4+6x=3x-5+6x[/tex]
[tex]4=3x-5+6x[/tex]
[tex]4=9x-5[/tex]
Add 5 to both sides of the equation.
[tex]4+5=9x-5+5[/tex]
[tex]9=9x[/tex]
Divide both sides by 9.
[tex]\frac{9}{9}=\frac{9x}{9}[/tex][tex]x=1[/tex]
Substitute x =1 in the equation y =3x-5.
[tex]y=3(1)-5[/tex][tex]y=-2[/tex]
The solution of the given system of equations is x=1 and y =-2.
Final answer:
[tex](1,-2)[/tex]
