What is 3x+4y=2,9x+16y=7 ?

The solution to 3x+4y=2,9x+16y=7 is x= 1/3 ,y= 1/4

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3x+4y=2,9x+16y=7

3 x + 4 y = 2, 9 x + 16 y = 7

x = \frac{1}{3}, y = \frac{1}{4}

Solution steps

[3 x + 4 y = 2 9 x + 16 y = 7]

Isolate

x

for

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

Substitute

x = \frac{2 - 4 y}{3}

[9 \cdot \frac{2 - 4 y}{3} + 16 y = 7]

Simplify

[4 y + 6 = 7]

Isolate

y

for

4 y + 6 = 7 : y = \frac{1}{4}

For

x = \frac{2 - 4 y}{3}

Substitute

y = \frac{1}{4}

x = \frac{2 - 4 \cdot \frac{1}{4}}{3}

\frac{2 - 4 \cdot \frac{1}{4}}{3} = \frac{1}{3}

x = \frac{1}{3}

The solutions to the system of equations are:

x = \frac{1}{3}, y = \frac{1}{4}

2 x + 3 y = 7, 5 x - y = 9

15 x + 3 y = 15, 12 x + 4 y = 20

x - y = 3, 2 x - 3 y = 1

3 x + y = 12, x + 5 y = 32

12 (x - 6) = (y - 6), 12 x - y = 66 - 12, 12 - y = - 6 + 72, 12 x - 7 z = y - 6