Question 20 (Fill-In-The-Blank Worth 4 points) (05.02) A system of equations is shown below: 6x − 5y = 5 3x + 5y = 4 The x-coordinate of the solution to this system of equations is _____. Numerical Answers Expected! Answer for Blank 1:

Respuesta :

Answer:

x = 1

Step-by-step explanation:

The system of equations is

[tex]\left \{ {{6x-5y=5} \atop {3x+5y=4}} \right.[/tex]

We will solve this using elimination.  We will eliminate the y variables in this system, since the coefficients are opposites.  We will add the two equations:

[tex]\left \{ {{6x-5y=5} \atop {+(3x+5y=4)}} \right. \\\\9x=9[/tex]

Divide both sides by 9:

9x/9 = 9/9

x = 1

Answer:

x=1

Step-by-step explanation:

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