Question

Solve the system of equations:
x+y=6
3x−5y=2

Answer 1

x=4, y=2

Explanation:

x+y=6

3x−5y=2

Multiply the first equation by 5

5(x+y)=6*5

5x+5y = 30

Add this to the second equation

5x+5y = 30

3x -5y = 2

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8x = 32

Divide each side by 8

8x/8 = 32/8

x = 4

Now we need to find y

x+y =6

4+y =6

Subtract 4 from each side

4+y-4 =6-4

y = 2