What is 5x+3y=9,2x+3y=12 ?

The solution to 5x+3y=9,2x+3y=12 is x=-1,y= 14/3

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5x+3y=9,2x+3y=12

5 x + 3 y = 9, 2 x + 3 y = 12

x = - 1, y = \frac{14}{3}

Solution steps

[5 x + 3 y = 9 2 x + 3 y = 12]

Isolate

x

for

5 x + 3 y = 9 : x = \frac{9 - 3 y}{5}

Substitute

x = \frac{9 - 3 y}{5}

[2 \cdot \frac{9 - 3 y}{5} + 3 y = 12]

Simplify

[\frac{18 + 9 y}{5} = 12]

Isolate

y

for

\frac{18 + 9 y}{5} = 12 : y = \frac{14}{3}

For

x = \frac{9 - 3 y}{5}

Substitute

y = \frac{14}{3}

x = \frac{9 - 3 \cdot \frac{14}{3}}{5}

\frac{9 - 3 \cdot \frac{14}{3}}{5} = - 1

x = - 1

The solutions to the system of equations are:

x = - 1, y = \frac{14}{3}

5 x - 3 y = 11, 4 x + y = 2

2 x + y + z = 0, 4 x + 3 y + 2 z = 2, 2 x - y - 3 z = 0

2 x + 3 y = 8, 5 x - 2 y = 1

2 a + 3 y (a) = 4, 3 a + y (a) = 5

a_{13} = - 1, 7 n = 19, a_{5} = 7