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Use the substitution method to solve the system of equations.

2x+3y=12
y=x-1

User Moshevi
by
7.4k points

2 Answers

3 votes

Answer:

X=3

Y=2

Explanation:

2x+3y=12

2*3=6

3*2=6

2*3+3*2=12

6+6=12

2-3=-1

User Josef Grahn
by
7.6k points
2 votes

Answer:
x=3\\y=2

Explanation:

You con solve the system of equation with the Substitution method, as following:

- Substitute the second equation into the first equation.

- Solve for x:


2x+3y=12\\2x+3(x-1)=12\\2x+3x-3=12\\5x=12+3\\5x=15\\x=3

- Substitute the value of x obtained above into the second equation to find the value of the variable y. Therefore, you obtain:


y=x-1\\y=3-1\\y=2

User NinetyHH
by
7.3k points