Question

Solve the system of equations.

x+y = 4
3x+2y = −5

A. (13, 17)
B. (13, −17)
C. (−13, 17)
D. (−13, −17)

Answer 1

To solve the system of equations, we can use the method of elimination. Multiply the first equation by -2 to make the coefficients of y in both equations the same. Add the two equations together to eliminate y. Substitute the value of x back into one of the original equations to find y. The solution is x = -13 and y = 17.

Step-by-step explanation:

To solve the system of equations:

x + y = 4

3x + 2y = -5

we can use the method of substitution or elimination. Here, I will use the method of elimination:

Multiply the first equation by -2 to make the coefficients of y in both equations the same:

-2(x + y) = -2(4) => -2x - 2y = -8

Now, add the two equations together to eliminate y:

(-2x - 2y) + (3x + 2y) = -8 + (-5)

x = -13

Substitute the value of x back into one of the original equations:

-13 + y = 4

y = 17

Therefore, the solution to the system of equations is x = -13 and y = 17.