Answer:
x = 10
y = 11
Step-by-step explanation:
Solve for x:
2x + 3y = 53
3x(3) - y(3) = 19(3)
2x + 3y = 53
9x - 3y = 57
Add:
2x = 53
9x = 57
11x = 110
Solve algebraically:
x = 110 ÷ 11
x = 10
Now solve for y:
2(10) + 3y = 53
20 + 3y = 53
3y = 53 - 20
3y = 33
y = 33 ÷ 3
y = 11
Verify for the second equation:
3x - y = 19
3(10) - (11) = 19
30 - 11 = 19
30 = 19 + 11
30 = 30 (Correct)
Cheers!
