Mathematics: FREEEE POINTSSSSS YO WELCOME PEEPS O.O :V

FREEEE POINTSSSSS YO WELCOME PEEPS O.O :V - id11603514, dessssimartinez6780

jetblackcap

31.05.2020

Pilar is correct because both system of equations are satisfied by the same solution.

Step-by-step explanation:

To know if both systems have the same solutions we need to solve one of them, and then evaluate that solution with the other system.

Let's solve the first system

$3x+2y=2\\5x+4y=6$

First, let's multiply the first equation by -2, then we sum both equations each other

$-6x-4y=-4\\5x+4y=6$

$-x=2\\x=-2$

Then, we use this value to find the other one

$3x+2y=2\\3(-2)+2y=2\\-6+2y=2\\2y=2+6\\y=\frac{8}{2}\\ y=4$

Therefore, the solution of the first system of equations is (-2,4) .

Now, let's evaluate this values in the second equation and see if they satisfy

$3x+2y=2\\3(-2)+2(4)=2\\-6+8=2\\2=2$

They satisfy the first equation, let's evaluate the second one

$11x+8y=10\\11(-2)+8(4)=10\\-22+32=10\\10=10$

They also satisfy the second equation. That means both system have the same solution.

Therefore, Pilar is correct because both system of equations are satisfied by the same solution.

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