Question

What is the value of the x variable in the solution to the following system of equations?. .

Answer 1

Answer:

B

Step-by-step explanation:

We need to solve for  $x$  here.

Equation 1:  $2x-3y=3$

Equation 2:  $5x-4y=4$

Solving for $y$  in Equation 1 and substituting that into Equation 2 gives us:

$2x-3y=3\\2x-3=3y\\\frac{2x-3}{3}=y$

Substituting this expression into Equation 2 and solving for $x$  gives us:

$5x-4(\frac{2x-3}{3})=4\\5x-(\frac{8x-12}{3})=4\\\frac{15x-8x+12}{3}=4\\15x-8x+12=12\\7x+12=12\\7x=0\\x=0$

$x=0$  is the solution. Answer choice B is correct.

Answer 2

2x - 3y = 3.....multiply by 4
5x - 4y = 4....multiply by -3
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8x - 12y = 12 (result of multiplying by 4)
-15x + 12y = -12 (result of multiplying by -3)
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- 7x = 0
x = 0 <===