Answer:
(4,5)
Explanation:
Let's solve your system by substitution.
2y=x+6;3x=y+7
Step: Solve2y=x+6for x:
2y=x+6
2y+−x=x+6+−x(Add -x to both sides)
−x+2y=6
−x+2y+−2y=6+−2y(Add -2y to both sides)
−x=−2y+6
−x
−1
=
−2y+6
−1
(Divide both sides by -1)
x=2y−6
Step: Substitute2y−6forxin3x=y+7:
3x=y+7
3(2y−6)=y+7
6y−18=y+7(Simplify both sides of the equation)
6y−18+−y=y+7+−y(Add -y to both sides)
5y−18=7
5y−18+18=7+18(Add 18 to both sides)
5y=25
5y
5
=
25
5
(Divide both sides by 5)
y=5
Step: Substitute 5 for y in x=2y−6:
x=2y−6
x=(2)(5)−6
x=4(Simplify both sides of the equation)