find 3 different solution of equation 4x+3y=12
Answers
Answer:
ATQ,
4x+3y=12
4x=12-3y
x=12-3y÷4
x=3-3y-ans
ATQ,
4x+3y=12
3y=12-3x
y=12-3x÷3
y=4-3x-ans
ATQ,
4x+3y=12
xy(4+3)=12
xy×7=12
xy=12÷7-ans
Answer:
( 0, 4 ), ( 3, 0 ) and ( 1, 8/3 ) are three of the solutions.
Step-by-step explanation:
The given equation is a linear equation in two variables as the exponent of x and y are 1. And it can be rewritten in the form ax + by + c = 0, where x and y are variable.
A linear equation in two variable has infinite number of solutions. We can find any three. To find the solutions, we can assume x aur y as any constant value, which will make the equation a linear equation in one variable.
Given equation: 4x + 3y = 12
Let x = 0
⟹ 4(0) + 3y = 12
⟹ 0 + 3y = 12
⟹ y = 12/3
⟹ y = 4
First solution is ( 0, 4 )
Let y = 0
⟹ 4x + 3(0) = 12
⟹ 4x = 12
⟹ x = 12/4
⟹ x = 3
Second solution is ( 3, 0 )
Let x = 1
⟹ 4(1) + 3y = 12
⟹ 4 + 3y = 12
⟹ 3y = 12 - 4
⟹ 3y = 8
⟹ y = 8/3
Third solution is ( 1, 8/3 )