Solve the simultaneous equations 3x- 4y =20 and 4x-2y = 25

Answers

Answer 1

Answer:

(6, - [tex]\frac{1}{2}[/tex] )

Step-by-step explanation:

Given the 2 equations

3x - 4y = 20 → (1)

4x - 2y = 25 → (2)

Multiplying (2) by - 2 and adding to (1) eliminates the y- term

- 8x + 4y = - 50 → (3)

Add (1) and (3) term by term to eliminate y

- 5x = - 30 ( divide both sides by - 5 )

x = 6

Substitute x = 6 into either of the 2 equations and evaluate for y

Substituting into (1)

3(6) - 4y = 20

18 - 4y = 20 ( subtract 18 from both sides )

- 4y = 2 ( divide both sides by - 4 )

y = [tex]\frac{2}{-4}[/tex] = - [tex]\frac{1}{2}[/tex]

Solution is (6, - [tex]\frac{1}{2}[/tex] )

Answer 2

The solution of the linear equations 3x - 4y = 20 and 4x - 2y = 25 will be (6, -0.50).

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The linear equations are given below.

3x - 4y = 20            ...1

4x - 2y = 25

8x - 4y = 50            ...2

Subtract equation 1 from equation 1, then we have

8x - 4y - 3x + 4y = 50 - 20

5x = 30

x = 6

The value of the variable 'y' will be given as,

3(6) - 4y = 20

18 - 4y = 20

4y = - 2

y = - 0.50

The solution of the linear equations 3x - 4y = 20 and 4x - 2y = 25 will be (6, -0.50).

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2


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