What is 3/5 x-1/4 y=2,2x= 5/2 y ?

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

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3/5 x-1/4 y=2,2x= 5/2 y

\frac{3}{5} x - \frac{1}{4} y = 2, 2 x = \frac{5}{2} y

x = 5, y = 4

Solution steps

[\frac{3}{5} x - \frac{1}{4} y = 2 2 x = \frac{5}{2} y]

Isolate

x

for

\frac{3}{5} x - \frac{1}{4} y = 2 : x = \frac{40 + 5 y}{12}

Substitute

x = \frac{40 + 5 y}{12}

[2 \cdot \frac{40 + 5 y}{12} = \frac{5}{2} y]

Simplify

[\frac{40 + 5 y}{6} = \frac{5}{2} y]

Isolate

y

for

\frac{40 + 5 y}{6} = \frac{5}{2} y : y = 4

For

x = \frac{40 + 5 y}{12}

Substitute

y = 4

x = \frac{40 + 5 \cdot 4}{12}

\frac{40 + 5 \cdot 4}{12} = 5

x = 5

The solutions to the system of equations are:

x = 5, y = 4

- 6 x + 2 y = 38, 6 x - 8 y = - 44

6 x + 3 y = 9, 2 x + 3 y = 1

2 a + b = 30, 3 b - 1 = a

5 x + 2 y = 10, x - 4 y = 25

5 x + 7 y = - 21, x - 8 y = 24

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