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umka21 [38]
3 years ago
8

What is the value of the x variable in the solution to the following system of equations? 4x − 3y = 3 5x − 4y = 3

Mathematics
2 answers:
Fittoniya [83]3 years ago
7 0
4x - 3y = 3 (x-4)
5x - 4y = 3 (x3)
-16x + 12y = -12
15x -12y = 9
-x = -3
x = 3
kirill [66]3 years ago
3 0

Answer:  The required value of variable x is 3.

Step-by-step explanation:  We are given to find the value of the variable x in the solution to the following system of equations :

4x-3y=3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\5x-4y=3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)

In order to find the value of x, we need to eliminate y from both the equations.

Multiplying equation (i) by 4 and equation (ii) by 3, we have

4(4x-3y)=4\times 3\\\\\Rightarrow 16x-12y=12~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)\\\\\\3(5x-4y)=3\times3\\\\\Rightarrow 15x-12y=9~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iv)

Subtracting equation (iv) from equation (iii), we get

(16x-12y)-(15x-12y)=12-9\\\\\Rightarrow x=3.

Thus, the required value of variable x is 3.

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Answer and Step-by-step explanation: The described right triangle is in the attachment.

As it is shown, AC is the hypotenuse and BC and AB are the sides, so use Pytagorean Theorem to find the unknown measure:

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Then, right triangle ABC measures:

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