What is 6x+3y=15,4x-9y=-34 ?

The solution to 6x+3y=15,4x-9y=-34 is x= 1/2 ,y=4

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6x+3y=15,4x-9y=-34

6 x + 3 y = 15, 4 x - 9 y = - 34

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

Solution steps

[6 x + 3 y = 15 4 x - 9 y = - 34]

Isolate

x

for

6 x + 3 y = 15 : x = \frac{5 - y}{2}

Substitute

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

[4 \cdot \frac{5 - y}{2} - 9 y = - 34]

Simplify

[- 11 y + 10 = - 34]

Isolate

y

for

- 11 y + 10 = - 34 : y = 4

For

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

Substitute

y = 4

x = \frac{5 - 4}{2}

Simplify

x = \frac{1}{2}

The solutions to the system of equations are:

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

3 x + 2 (y + 1) = 2, 4 x - 3 (y - 2) = 23

n (u) = 10, 0 n (a) = 4, 5 n (b) = 3, 4 n (a^{0} b) = 15

y + x = - 4, 2 y + 2 x = - 8

13 x - 6 y = 20, 7 x + 4 y = 18

2 a + b = - 1, 3 a - 4 b = 15