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Sagot :
Answer:
2/7
Let me know if it's right btw. I'm not that sure.
Step-by-step explanation:
Let's disregard the kx -3y = 10 part.
We will use this part later to check our answer.
2x - 5y = 6
-3x + 2y = 13
Let's eliminate. Multiply the top equation by 2.
2(2x-5y) = 2(6) = 4x-10y=12
Multiply the bottom equation by 5
5(-3x +2y) = 5(13) = -15x + 10y = 65
-15x + 10y = 65
4x-10y=12
Let's add the equations to cancel the y's.
-11x = 77
Divide both sides by -11
x = -7
Let's plug -7 back in to one equation to find y.
2(-7) - 5y = 6
-14 - 5y = 6
Add 14 to both sides and you get -5y=20
y = -4
(-7,-4) is our solution BUT WE AREN'T DONE! We need to find k.
Plug in the x and y value (-7 is our x value and -4 is our y value)
-7k + 12 = 10
subtract 12 from both sides and you get -7k = -2
divide both sides by -7 and you get k =2/7!
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