What is 2x-3y=1,3y=3x-16 ?

The solution to 2x-3y=1,3y=3x-16 is x=15,y= 29/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2x-3y=1,3y=3x-16

2 x - 3 y = 1, 3 y = 3 x - 16

x = 15, y = \frac{29}{3}

Solution steps

[2 x - 3 y = 1 3 y = 3 x - 16]

Isolate

x

for

2 x - 3 y = 1 : x = \frac{1 + 3 y}{2}

Substitute

x = \frac{1 + 3 y}{2}

[3 y = 3 \cdot \frac{1 + 3 y}{2} - 16]

Simplify

[3 y = \frac{3 ( 1 + 3 y )}{2} - 16]

Isolate

y

for

3 y = \frac{3 ( 1 + 3 y )}{2} - 16 : y = \frac{29}{3}

For

x = \frac{1 + 3 y}{2}

Substitute

y = \frac{29}{3}

x = \frac{1 + 3 \cdot \frac{29}{3}}{2}

\frac{1 + 3 \cdot \frac{29}{3}}{2} = 15

x = 15

The solutions to the system of equations are:

x = 15, y = \frac{29}{3}

f (x) = 3, x + 1 x = - \frac{1}{2}

4 x - 5 y = 33, 3 x + y = 1

x + (a + 1) y = 5, (a + 1) x + 9 y = 8 a - 1

x + y = 2, x - y = 3

4 x - y = 0, 2 x - 3 y = 5, 3 x + 2 y = 12