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Find the solution of the system of equations. 2x + 3y=-4 , x + 9y = 13

Sagot :

(-5, 2)

1) Solving this Linear System with the method of Addition/Elimination:

2x + 3y=-4

x + 9y = 13​ x-2 Multiply the whole equation by -2

2x +3y = -4

-2x -18y= -26

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

-15y= -30

15y= 30 Divide both sides by 15

y = 2

2) Plug into the simpler equation y=2

x +9y = 13

x + 9(2) = 13

x +18 = 13

x =13-18

x= -5

3) So the answer is (-5, 2)

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