Question

by using substitution method solve X_3y=8 (i) 5x+3y =10​

Answer 1

Answer:

y = -5/3 is the right answer

Answer 2

CORRECT QUESTION

By using substitution method solve x-3y=8 (i) 5x+3y =10.

ANSWER

The value of x is 3 and the value of y is -5/3

GIVEN

Algebraic equations;

x-3y=8.

5x+3y =10.

TO FIND

To solve the given equations

SOLUTION

We can simply solve the above problem as follows;

Elimination method is one of the method applied to solve linear equations.In this method, the value of one variable from one equation is substituted to another equation.

We are given two linear equations;

x-3y=8. (i)

5x+3y =10. (ii)

We can also write equation (i) as follows;

x - 3y = 8

x = 8 + 3y (iii)

Putting the value of x from equation (iii) in equation (ii)

We get;

5(8+3y) + 3y = 10

Multiplying 5 to the parenthesis

40 + 15y + 3y = 10

Adding the like terms

18y = 10-40

18y = -30

y = -30/18

y = -5/3 (iv)

Putting the value of y from (iv) and putting in equation (i)

x - 3(-5/3) = 8

x + 5 = 8

x = 8-5

x = 3

Hence, The value of x is 3 and the value of y is -5/3

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