Lets start with one of the equations.
2x+6y=18
Add -6y to both sides.
2x+6y+−6y=18+−6y
2x=−6y+18
Divide both sides by 2.
2x2=−6y+182
x = −3y + 9 <--
Now lets plug this into the other equation.
Simplify both sides of the equation.
3(−3y+9)+2y=13
Simplify
−7y+27=13
Subtract 27 from both sides.
−7y+27−27=13−27
−7y=−14
Divide both sides by -7.
−7y/−7 = −14/−7
y=2
Answer:
y=2
Now that we figured out the value for y, lets plug it into either equation.
2x+6(-2)=18
Simplify both sides of the equation.
2x+(6)(−2)=18
Simplify
2x−12=18
Add 12 to both sides.
2x−12+12=18+12
2x=30
Divide both sides by 2.
2x/2 = 30/2
x=15
Final answer:
y = 2
x = 15
