Question

Solve by the substitution method.

7x + 2y = -19

-5x + y = 33


What is the solution of the ​system?

​(Type an ordered​ pair.)

Answer 1

x = -5 and y = 8 is the solution for the given equations.

Explanation:

We are given the following information in the question:

`7x + 2y = -19\\-5x + y = 33`

We have to use substitution method to solve the following equations in two variables.

`-5x + y = 33\\y = 33 + 5x\\\text{Putting this value of y in the first equation}\\7x + 2y = -19\\7x + 2(33+5x) = -19\\7x + 66+10x = -19\\17x = -85\\\\x = \displaystyle(-85)/(17) = -5\\\\y = 33 + 5x = 33 + 5(-5) = 33-25 = 8`

Thus, x = -5 and y = 8 is the solution for the given equations.