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Find the solution of the system of equations.
−2x+9y= -17
-x - 3y = -1

2 Answers

2 votes

Answer:

x = 4 and y = −1

(4, -1)

Explanation:

I going to solve this system of equations by elimination. (You could also solve by substitution too.)

Multiply the first equation by 1, and multiply the second equation by -2.

1(−2x+9y= -17)

-2(-x - 3y = -1)

Becomes:

−2x + 9y = −17

2x + 6y = 2

Add these equations to eliminate x:

15y = −15

15y/15 = -15/15

y = -1

Now we solve for x:

-x -3(-1) = -1

-x + 3 = -1

-3 -3

-x = -4

x = 4

Hope this helped!

User B Cronyn
by
3.0k points
3 votes
x=4 y=-1 (4,-1) this is the answer
User Burnt Toast
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3.4k points