We will solve the system of equation with the help of Substitution Method.
Given: 4x+5y=7 ..................(1)
y=3x+9 ..................(2)
Now write x in terms of y as by putting the value of y from equation (2) we will get ,
4x+5(3x+9)=7
4x+15x+45=7
On solving these equations further,
19x=7-45
19x = -38
On dividing both the side by 19 we get,
[tex]\rm \dfrac{19x}{19}=\dfrac{-38}{19}\\ \\ \;\;\;\; x=-2[/tex]
y=3(-2)+9
y=-6+9
y= 3
Therefore, the values are x=-2 & y=3
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