What is 2x+6y=60,6x+10y=112 ?

The solution to 2x+6y=60,6x+10y=112 is x= 9/2 ,y= 17/2

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2x+6y=60,6x+10y=112

2 x + 6 y = 60, 6 x + 10 y = 112

x = \frac{9}{2}, y = \frac{17}{2}

Solution steps

[2 x + 6 y = 60 6 x + 10 y = 112]

Isolate

x

for

2 x + 6 y = 60 : x = 3 (- y + 10)

Substitute

x = 3 (- y + 10)

[6 \cdot 3 (- y + 10) + 10 y = 112]

Simplify

[- 8 y + 180 = 112]

Isolate

y

for

- 8 y + 180 = 112 : y = \frac{17}{2}

For

x = 3 (- y + 10)

Substitute

y = \frac{17}{2}

x = 3 (- \frac{17}{2} + 10)

3 (- \frac{17}{2} + 10) = \frac{9}{2}

x = \frac{9}{2}

The solutions to the system of equations are:

x = \frac{9}{2}, y = \frac{17}{2}

x - y = 10, x - 2 y = - 30

2 x + 3 y = 12, 5 x + 2 y = 20

5 x + y - 12 = 0, 3 x + \frac{3}{5} \cdot y - 8 = 0

x + y = 6, 3 x + 3 y = 9

2 x + y = 8, 3 x - y = 7

What is 2x+6y=60,6x+10y=112 ?
The solution to 2x+6y=60,6x+10y=112 is x= 9/2 ,y= 17/2