Question

Solve the system of linear equations below by substitution.

x + y = 5

2x - y = 7
Answer choices

(3, 2)

(2, 3)

(1, 4)

(4, 1)

Answer 1

4,1

Explanation:

x+y=5 2x-y=7

x=5-y 2(5-y)-y=7

10-2y-y=7

10-3y=7

10-7=3y

3=3y

1=y

substitutes y=1 in x+y=5

x+1=5

x=5-1

x=4

(4,1)

check:

x+y=5

4+1=5