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ki77a [65]
4 years ago
12

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

Mathematics
2 answers:
fiasKO [112]4 years ago
7 0

Answer:

B


Step-by-step explanation:


We need to solve for  x  here.

Equation 1:  2x-3y=3

Equation 2:  5x-4y=4

<em>Solving for y  in </em><em>Equation 1 </em><em>and substituting that into </em><em>Equation 2</em><em> gives us:</em>

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

<em>Substituting this expression into </em><em>Equation 2</em><em> and solving for x  gives us:</em>

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.

evablogger [386]4 years ago
5 0
2x - 3y = 3.....multiply by 4
5x - 4y = 4....multiply by -3
--------------
8x - 12y = 12 (result of multiplying by 4)
-15x + 12y = -12 (result of multiplying by -3)
-------------
- 7x = 0
x = 0 <===
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