Answer:
[tex]\left \{ {{x=4} \atop {y=1}} \right.[/tex]
Step-by-step explanation:
Rearrange like terms to the same side of the equation:
[tex]\left \{ {{4x+2y=18} \atop {x=3+y}} \right.[/tex]
Substitute into one of the equations:
[tex]4(3+y)+2y=18[/tex]
Apply the Distributive Property:
[tex]12+4y+2y=18[/tex]
Combine like terms:
[tex]12+6y=18[/tex]
Rearrange variables to the left side of the equation:
[tex]6y=18-12[/tex]
Calculate the sum or difference:
[tex]6y=6[/tex]
Divide both sides of the equation by the coefficient of variable:
[tex]y=\frac{6}{6}[/tex]
Cross out the common factor:
[tex]y=1[/tex]
Substitute into one of the equations:
[tex]x=3+1[/tex]
Calculate the sum or difference:
[tex]x=4[/tex]
The solution of the system is:
[tex]\left \{ {{x=4} \atop {y=1}} \right.[/tex]
