The given equations are
x + y = 4
3x + 2y = - 5
We would apply the method of substitution. From the first equation, if we subtract y from both sides, it becomes
x + y - y = 4 - y
x = 4 - y
Substituting x = 4 - y into the second equation, we have
3(4 - y) + 2y = - 5
We would expand the parentheses on the left by multiplying the terms inside it with the term outside. We have
3 * 4 + 3 * - y + 2y = - 5
12 - 3y + 2y = - 5
12 - y = - 5
Adding y and 5 to both sides, we have
12 + 5 + y - y = - 5 + 5 + y
12 + 5 = y
y = 17
Substituting y = 17 into x = 4 - y, we have
x = 4 - 17
x = - 13
The correct option is
(- 13