Question

Write each of the following as an equation in two variables:
(a) x = -7
(b) 2y = 5​

Answer 1

Answer:

Step-by-step explanation:

Given:

Two variables for x=5, y=-2.

To find:

Write a linear equation of two variables for x=5, y=-2.

Solution:

From the given information, we have the data as follows.

Two variables for x = 5, y = -2.  

Equation in two variable is of form ax + by + c = 0

where a and b are the coefficients of x and y and c is a constant.

Consider the first equation.

x = 5

x - 5 = 0

x + 0y - 5 = 0

Consider the second equation.

y = -2

y + 2 = 0

0x + y + 2 = 0

The linear equation of two variables for x = 5, y = -2 are x + 0y - 5 = 0, 0x + y + 2 = 0

Answer 2

Given:

Two variables for $x=-7, 2y=5.$

To find:

Write a linear equation of two variables for$x=-7, 2y=5.$

Solution:

Know that,

Equation in two variable is of form $ax + by + c = 0$

where a and b are the coefficients of x and y and c is a constant.

Consider the first equation.

$\[\begin{array}{l}x = - 7\\ \Rightarrow x + 7 = 0\\ \Rightarrow x + 0y + 7 = 0\end{array}\]$

Consider the second equation.

$\[\begin{array}{l}2y = 5\\ \Rightarrow 2y - 5 = 0\\ \Rightarrow 0x + 2y - 5 = 0\end{array}\]$

Hence, The linear equation of two variables for $x=-7,2y=5$are $x+0y+7=0$ and $0x+2y-5=0$ respectively.