What is 2x+3y=15,4x-5y=10 ?

The solution to 2x+3y=15,4x-5y=10 is x= 105/22 ,y= 20/11

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2x+3y=15,4x-5y=10

2 x + 3 y = 15, 4 x - 5 y = 10

x = \frac{105}{22}, y = \frac{20}{11}

Solution steps

[2 x + 3 y = 15 4 x - 5 y = 10]

Isolate

x

for

2 x + 3 y = 15 : x = \frac{15 - 3 y}{2}

Substitute

x = \frac{15 - 3 y}{2}

[4 \cdot \frac{15 - 3 y}{2} - 5 y = 10]

Simplify

[- 11 y + 30 = 10]

Isolate

y

for

- 11 y + 30 = 10 : y = \frac{20}{11}

For

x = \frac{15 - 3 y}{2}

Substitute

y = \frac{20}{11}

x = \frac{15 - 3 \cdot \frac{20}{11}}{2}

\frac{15 - 3 \cdot \frac{20}{11}}{2} = \frac{105}{22}

x = \frac{105}{22}

The solutions to the system of equations are:

x = \frac{105}{22}, y = \frac{20}{11}

c = 500 + 10 q, q = 100

x = \frac{2}{3}, x = \frac{5}{3}, x = \frac{2}{7}

2 x + y = - 4, x + 2 z = - 5, 2 y + z = - 6

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

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

What is 2x+3y=15,4x-5y=10 ?
The solution to 2x+3y=15,4x-5y=10 is x= 105/22 ,y= 20/11