Answer: x= -2 and y= 3
Step-by-step explanation:
The given system of linear equations :
[tex]4x+5y=7--------------(1)\\\\ y=3x+9-----------------(2)[/tex]
By using Substitution method , we substitute the value of y from (2) in (1) , we get
[tex]4x+5(3x+9)=7[/tex]
[tex]\Rightarrow\ 4x+15x+45=7[/tex]
[tex]\Rightarrow\ 19x=7-45[/tex]
[tex]\Rightarrow\ 19x=-38[/tex]
[tex]\Rightarrow\ x=-2[/tex] [Divide both sides by 2]
Now , put the value of x in (2) , we get
[tex]y=3(-2)+9=-6+9=3[/tex]
∴ x= -2 and y= 3 .
