Question

Solve the given system of equations by substitution
x - y = 2, 2x + y = 7

Answer 1

x=10/3, y=4/3. (10/3, 4/3).

Explanation:

x-y=2

2x+y=7

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x=y+2

2(y+2)+y=7

2y+4+y=8

3y+4=8

3y=8-4

3y=4

y=4/3

x-4/3=2

x=2+4/3

x=6/3+4/3=10/3

x=10/3, y=4/3.