What is 1-s= 3/5*t, 2/3*s=1-t ?

The solution to 1-s= 3/5*t, 2/3*s=1-t is s= 2/3 ,t= 5/9

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1-s= 3/5t, 2/3s=1-t

1 - s = \frac{3}{5} \cdot t, \frac{2}{3} \cdot s = 1 - t

s = \frac{2}{3}, t = \frac{5}{9}

Solution steps

[1 - s = \frac{3}{5} t \frac{2}{3} s = 1 - t]

Isolate

s

for

1 - s = \frac{3}{5} \cdot t : s = - \frac{3 t - 5}{5}

Substitute

s = - \frac{3 t - 5}{5}

[\frac{2}{3} (- \frac{3 t - 5}{5}) = 1 - t]

Simplify

[- \frac{2 ( 3 t - 5 )}{15} = 1 - t]

Isolate

t

for

- \frac{2 ( 3 t - 5 )}{15} = 1 - t : t = \frac{5}{9}

For

s = - \frac{3 t - 5}{5}

Substitute

t = \frac{5}{9}

s = - \frac{3 \cdot \frac{5}{9} - 5}{5}

- \frac{3 \cdot \frac{5}{9} - 5}{5} = \frac{2}{3}

s = \frac{2}{3}

The solutions to the system of equations are:

s = \frac{2}{3}, t = \frac{5}{9}

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

2 x + 3 y = 6, 4 x + y = 2

3 x - y = 5, 2 x - 3 y = 8

5 (x - 2) + 2 y = - 5, 3 (x + y) - 8 = 2 (y - 2)

x + y = 4, + x - y = + 2

What is 1-s= 3/5*t, 2/3*s=1-t ?
The solution to 1-s= 3/5*t, 2/3*s=1-t is s= 2/3 ,t= 5/9