Question

Find the solution of the system of equations 3x+3y=6
9x-5y=-24

Answer 1

Then the answer to the system is the point (-1, 3)

which corresponds to x = -1 and y = 3

Explanation:

Start by dividing the first equation by 3 on both sides, and get:

x + y = 2

now multiply it by 5 in order to be able to eliminate the term in y in the combining of both equations:

5 x + 5 y = 10

+

9 x - 5 y = - 24

___________

14 x + 0 = -14

solve for x by dividing both sides by 14:

x = -14/14 = -1

Use the x = -1 answer in the equation 3 x + 3 y = 6 and solve for y:

-3 + 3 y = 6

add 3 on both sides:

3 y = 9

divide both sides by 3 to isolate y:

y = 3

Then the answer to the system is the point on the plane (-1, 3)

which corresponds to x = -1 and y = 3