Question

Solving a System of Linear Equations

Consider the system of linear equations.
2y = x + 10
3y = 3x + 15
Which statements about the system are true? Check all
that apply.
The system has one solution.
The system graphs parallel lines,
Both lines have the same slope.
Both lines have the same y-intercept.
The equations graph the same line.
The solution is the intersection of the 2 lines.
Whats the answer

Answer 1

x=0, y=5. The system has one solution.

Explanation:

2y=x+10

3y=3x+15

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simplify 3y=3x+15 into y=x+5

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2(x+5)=x+10

2x+10=x+10

2x-x+10=10

x+10=10

x=10-10

x=0

2y=0+10

2y=10

y=10/2

y=5

Answer 2

1, 4, and 6

Explanation:

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