x-3y=7 , 3x-3y=15
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Answer:
MAKE THIS AS BRAILIST ANSWER.
1) -2y=7
y=7/-2
y=3.5
Step-by-step explanation:
2)3x-3y=15
3x-3x=15
x=15
if there is two different variables we can change them into Same variable.
Answer:
The solution of the given equations is ( x, y ) = ( 4, - 1 ).
Step-by-step-explanation:
The given simultaneous equations are
x - 3y = 7 and 3x - 3y = 15.
x - 3y = 7 - - ( 1 )
3x - 3y = 15 - - ( 2 )
Subtracting equation ( 1 ) from equation ( 2 ), we get,
3x - 3y - ( x - 3y ) = 15 - 7
⇒ 3x - 3y - x + 3y = 8
⇒ 3x - x + 0 = 8
⇒ 2x = 8
⇒ x = 8 ÷ 2
⇒ x = 4
By substituting x = 4 in equation ( 1 ), we get,
x - 3y = 7 - - ( 1 )
⇒ 4 - 3y = 7
⇒ - 3y = 7 - 4
⇒ - 3y = 3
⇒ y = - 3 / 3
⇒ y = - 1
∴ The solution of the given equations is ( x, y ) = ( 4, - 1 ).
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Additional Information:
1. Linear Equations in two variables:
The equation with the highest index ( degree ) 1 is called as linear equation. If the equation has two different variables, it is called as 'linear equation in two variables'.
The general formula of linear equation in two variables is ax + by + c = 0.
Where, a, b, c are real numbers and a ≠ 0, b ≠ 0.
2. Solution of a Linear Equation:
The value of the given variable in the given linear equation is called the solution of the linear equation.