To solve the system of equations:
We can eliminate the x variable by adding the two equations together.
First, let's multiply the second equation by 7 to make the x terms cancel out:
7(-7x + 9y) = 7(-47)
-49x + 63y = -329
Now we can add the two equations together:
(7x + 3y) + (-49x + 63y) = -25 + (-329)
-42x + 66y = -354
Now we can divide the entire equation by -6 to solve for y:
-42x/(-6) +66y/(-6) = -354/(-6)
7x - 11y = 59
So now we have a new system of equations:
7x - 11y = 59
-49x + 63y = -329
Now we can eliminate the x variable again by multiplying the first equation by 7:
7(7x - 11y) = 7(59)
49x - 77y = 413
Adding this equation to the second equation:
(49x - 77y) + (-49x + 63y) = 413 + (-329)
-14y = 84
y = -6
Now substitute this value of y into one of the original equations to solve for x:
7x + 3(-6) = -25
7x - 18 = -25
7x = -25 + 18
7x = -7
x = -1
Therefore, the solution to the system of equations is (x, y) = (-1, -6).
Solve the system of equations. (1 point)
7x+3y=−25
−7x+9y=−47
( , )
1 answer