What is 2x+3y=2,x-y/2 = 1/2 ?

The solution to 2x+3y=2,x-y/2 = 1/2 is x= 5/8 ,y= 1/4

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2x+3y=2,x-y/2 = 1/2

2 x + 3 y = 2, x - \frac{y}{2} = \frac{1}{2}

x = \frac{5}{8}, y = \frac{1}{4}

Solution steps

[2 x + 3 y = 2 x - \frac{y}{2} = \frac{1}{2}]

Isolate

x

for

2 x + 3 y = 2 : x = \frac{2 - 3 y}{2}

Substitute

x = \frac{2 - 3 y}{2}

[\frac{2 - 3 y}{2} - \frac{y}{2} = \frac{1}{2}]

Simplify

[1 - 2 y = \frac{1}{2}]

Isolate

y

for

1 - 2 y = \frac{1}{2} : y = \frac{1}{4}

For

x = \frac{2 - 3 y}{2}

Substitute

y = \frac{1}{4}

x = \frac{2 - 3 \cdot \frac{1}{4}}{2}

\frac{2 - 3 \cdot \frac{1}{4}}{2} = \frac{5}{8}

x = \frac{5}{8}

The solutions to the system of equations are:

x = \frac{5}{8}, y = \frac{1}{4}

3 x - 5 y = 4, 2 y + 7 = 9 x

a + b = 8, a - b = 2

x^{2} + 4 x - 5 = 0, x = 1 - 1

3 x + 2 y = 3, - x + 5 y = 16

5 x + 3 y = - 11, 2 x + 4 y = - 10

What is 2x+3y=2,x-y/2 = 1/2 ?
The solution to 2x+3y=2,x-y/2 = 1/2 is x= 5/8 ,y= 1/4