Question

Solve the system of linear equations by substitution. x+y=10 2x+y=15

Answer 1

(5, 5)

Explanation:

x+y=10 2x+y=15

2x+y=15 - Simplify

2x+x=15 - substitute

3x=15 - divide each side by 3

x=5

x+y=10 - substitute

5+y=10 - subtract 5 from each side

y=5

CHECK (5, 5)

x+y=10 2x+y=15

5+5=10 2(5)+5=15

10=10 10+5=15

10=10 15=15

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