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3 votes
20x-10y=50
10x-15y=-5

User Kyle W
by
4.8k points

1 Answer

6 votes

Answer:

y = 3

x = 4

Explanation:

20x-10y=50

10x-15y=-5

I will use the elimination method for solving systems of equations.

I want to eliminate x, so I will multiply the bottom equation by negative 2.

20x-10y=50

-2(10x-15y=-5)

thus, I get

20x-10y=50

-20x+30y=10

I can now add these equations and get rid of x.

20y = 60

y = 3

Now, plug in the y value to find x.

20x - (10*3) = 50

20x - 30 = 50

20x = 80

x = 4

Check your answer by plugging in the x and y values to see if the equation is correct!

(20*4) - (10*3) = 50

80 - 30 = 50

The solution works for the first equation

(10 *4) - (15 * 3) = -5

40 - 45 = -5

The solution also works for the second equation.

This solution is correct

User MisterManager
by
4.9k points
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