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4x+15y=10 3x+10y=5









please help​

1 Answer

1 vote

Answer: {x,y} = {-5,2}

Explanation:

Solve equation [2] for the variable y

[2] 10y = -3x + 5

[2] y = -3x/10 + 1/2

Plug this in for variable y in equation [1]

[1] 4x + 15•(-3x/10+1/2) = 10

[1] -x/2 = 5/2

[1] -x = 5

Solve equation [1] for the variable x

[1] x = - 5

By now we know this much :

x = -5

y = -3x/10+1/2

Use the x value to solve for y

y = -(3/10)(-5)+1/2 = 2

So it's {x,y} = {-5,2}

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