Question

Solve the following system: (5 points)

y = x + 3
2x + y = 9


A. (2, 5)

B. (5, 2)

C. (−2, 5)

D. (2, −5)

Answer 1

y = x + 3
2x + y = 9

substitute the first equation into the second equation;
2x + y = 9
2x + x + 3 = 9
3x + 3 = 9

solve for x;
3x + 3 = 9
3x = 9 - 3
3x = 6
x = 2

solve for y, given the value of x;
y = x + 3
y = 2 + 3
y = 5

so the answer is (2, 5).

hope this helps, God bless!