What is 2a+b=30,3b-1=a ?

The solution to 2a+b=30,3b-1=a is a= 89/7 ,b= 32/7

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

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

a = \frac{89}{7}, b = \frac{32}{7}

Solution steps

[2 a + b = 30 3 b - 1 = a]

Isolate

a

for

2 a + b = 30 : a = \frac{30 - b}{2}

Substitute

a = \frac{30 - b}{2}

[3 b - 1 = \frac{30 - b}{2}]

Isolate

b

for

3 b - 1 = \frac{30 - b}{2} : b = \frac{32}{7}

For

a = \frac{30 - b}{2}

Substitute

b = \frac{32}{7}

a = \frac{30 - \frac{32}{7}}{2}

\frac{30 - \frac{32}{7}}{2} = \frac{89}{7}

a = \frac{89}{7}

The solutions to the system of equations are:

a = \frac{89}{7}, b = \frac{32}{7}

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

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

\frac{12 5 ^{x}}{( 5 ^{y} )} = 25, 2^{3 x} \cdot (\frac{1}{8})^{1 - y} = 32

\frac{41}{x} - \frac{1}{( y - 2 )} = - 1, \frac{4}{x} + \frac{3}{( y - 2 )} = 5

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