What is 4a=5,b+52a=3b+2 ?

The solution to 4a=5,b+52a=3b+2 is a= 5/4 ,b= 63/2

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4a=5,b+52a=3b+2

4 a = 5, b + 52 a = 3 b + 2

a = \frac{5}{4}, b = \frac{63}{2}

Solution steps

[4 a = 5 b + 52 a = 3 b + 2]

Isolate

a

for

4 a = 5 : a = \frac{5}{4}

Substitute

a = \frac{5}{4}

[b + 52 \cdot \frac{5}{4} = 3 b + 2]

Simplify

[b + 65 = 3 b + 2]

Isolate

b

for

b + 65 = 3 b + 2 : b = \frac{63}{2}

The solutions to the system of equations are:

a = \frac{5}{4}, b = \frac{63}{2}

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

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

2 x + 3 y = 0, - 3 x + 8 y = 50

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

3 a - 11 b = 5, 2 a + 4 b = 1