What is 4x+6y=10,2x-3y=8 ?

The solution to 4x+6y=10,2x-3y=8 is x= 13/4 ,y=-1/2

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4x+6y=10,2x-3y=8

4 x + 6 y = 10, 2 x - 3 y = 8

x = \frac{13}{4}, y = - \frac{1}{2}

Solution steps

[4 x + 6 y = 10 2 x - 3 y = 8]

Isolate

x

for

4 x + 6 y = 10 : x = \frac{5 - 3 y}{2}

Substitute

x = \frac{5 - 3 y}{2}

[2 \cdot \frac{5 - 3 y}{2} - 3 y = 8]

Simplify

[5 - 6 y = 8]

Isolate

y

for

5 - 6 y = 8 : y = - \frac{1}{2}

For

x = \frac{5 - 3 y}{2}

Substitute

y = - \frac{1}{2}

x = \frac{5 - 3 ( - \frac{1}{2} )}{2}

\frac{5 - 3 ( - \frac{1}{2} )}{2} = \frac{13}{4}

x = \frac{13}{4}

The solutions to the system of equations are:

x = \frac{13}{4}, y = - \frac{1}{2}

2 x + 3 y = 6, 3 x - 5 y = - 10

a + b = 12, a \cdot b = 36

5 x + 4 y = 3, 5 y^{2} x + 2 y = 16

x + y = 30, 0.8 - 0.5 y = - 2

x + y = 7, 2 x - 3 y = 11