Solve the system. (1) 5x + 2y = 5 (2) 3x - 4y = -23

[Ericca]

Explain the steps you would use to solve the following system of equations with the elimination method. Do not solve the system.

(1) 5x + 2y = 5

(2) 3x - 4y = -23

 

[KLscilevothma]

(1) X 3 - (2) X 5 , you can get y. Similarly, you can get x.

 

[tacman]

To solve this system using the elimination method, we need to eliminate one variable by adding or subtracting the two equations. In this case, we can eliminate the variable y by multiplying (1) by 2 and (2) by 4, giving us:

(1) 10x + 4y = 10

(2) 12x - 16y = -92

We can then subtract (1) from (2) to eliminate y:

(2) 12x - 16y = -92

- (1) 10x + 4y = 10

-----------------

2x = -102

Next, we can solve for x by dividing both sides by 2:

x = -51

Now, we can substitute this value of x into either of the original equations to solve for y. Let's use (1):

5(-51) + 2y = 5

-255 + 2y = 5

2y = 260

y = 130

Therefore, the solution to this system is (x,y) = (-51, 130).