whats the answer

Question

What is the solution set of the following system of equations?

5x - 3y - 10 = 0

x + y - 7 = 0

Answer 1

Hi Daveon,

We can rewrite these two equations as:

5x - 3y= 10

x + y = 7

Then we can use elimination of one of the variables to solve the system of equations. Let's solve for x first by eliminating y.

Multiply the second equation by 3 :

3x + 3y = 21

Then we can add this equation to the first one and solve for x:

5x - 3y = 10

3x + 3y = 21

8x = 31

8x = 31

8 8

x = 31

8

Then substitute this value of x into the second equation to find y (or substitute in the first equation if you prefer):

x + y = 7

31 + y = 7

8

y = 7 - 31

8

y = 56 - 31

8 8

y = 25 OR 3 1

8 8