What is 7x-3y=10,3x-5y=-5 ?

The solution to 7x-3y=10,3x-5y=-5 is x= 5/2 ,y= 5/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

7x-3y=10,3x-5y=-5

7 x - 3 y = 10, 3 x - 5 y = - 5

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

Solution steps

[7 x - 3 y = 10 3 x - 5 y = - 5]

Isolate

x

for

7 x - 3 y = 10 : x = \frac{10 + 3 y}{7}

Substitute

x = \frac{10 + 3 y}{7}

[3 \cdot \frac{10 + 3 y}{7} - 5 y = - 5]

Simplify

[\frac{30 - 26 y}{7} = - 5]

Isolate

y

for

\frac{30 - 26 y}{7} = - 5 : y = \frac{5}{2}

For

x = \frac{10 + 3 y}{7}

Substitute

y = \frac{5}{2}

x = \frac{10 + 3 \cdot \frac{5}{2}}{7}

\frac{10 + 3 \cdot \frac{5}{2}}{7} = \frac{5}{2}

x = \frac{5}{2}

The solutions to the system of equations are:

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

2 x + y = 10, x + y = 7

2 x + 7 y = 1, 1 x - 3 y = - 3

3 q + 2 q = 21, 7 p + 4 q = 47

4 x + y = 7, 2 x - y = 12

2 x + y = 19, 2 x - 3 y = - 3