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

** explain like why you did each step im hella confused thanksss

Respuesta :

Answer:

Hey There!

Let's solve....

Isolate for x first which is

[tex]x = \frac{3 + 3y}{4} \\ [/tex]

[tex]substitute \: x = \frac{3 + 3y}{4} \\ \\ \brack \: 5 \times \frac{3 + 3y}{4} - 4y = 3 \\ \\ [/tex]

Now simplify...

[tex] \brack \: \frac{15 - y}{4} = 3 \\ \\ = y = \frac{15 - 3}{4} \\ \\ = \frac{12}{4} \\ simplify \\ \\ \frac{ \cancel{12} ^{3} }{ \cancel{4}^{1} } \\ x = 3[/tex]

Y=3

We need to find value of y first... now x

[tex]x = \frac{3 + 3 \times 3}{4} \\ \\ =x = \frac{3 + 9}{4} \\ \\ = x = \frac{12}{4} \\ simplify \: \frac{ \cancel{12}^{3} }{ \cancel{4} ^{1} } \\ \\ value \: of \: x = 3 [/tex]

I hope it is helpful to you...

Cheers!_____________

Answer:

x = -1.3

I hope this is right, and I am sorry if this is wrong if it is! I rlly hope this helps you out and you can understand my method and the way I typed this!!

Step-by-step explanation:

We are going to use one of my fav methods! The substitution method!

Set this aside for now: 4x - 3y = 3     We gonna use this one: 5x - 4y = 3

5x - 4y = 3

= 5x - 3 = 4y

( also, the subtraction is with the 4y as a negative, so 4y would be positive if you moved it!)

Divide all of the equation by 4!

y = [tex]y = \frac{5x - 3}{4}[/tex]

Now, you take take the other equation and substitute the y with what you have above!

[tex]4x - 3 times \frac{5x - 3}{4} = 3[/tex]

you cross multiply 4( the denominator) with the other side that has only a three!

4x - 3 [tex]times 5x - 3[/tex] = 12

4x - 15x - 3 = 12

-11x - 3= 12

Move the three to the other side become positive!

-11x = 15

divide both sides by -11

x = -1.3

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