Respuesta :
Answer:
x = -3/2
Step-by-step explanation:
To find the unknown value, substitute all known values and solve for the one remaining. After substitution, this becomes a 2-step linear equation, so is solved by the procedure for such equations.
y = -6x +5 . . . . . given
14 = -6x +5 . . . . substitute known value
9 = -6x . . . . . . . subtract 5 (step 1)
9/-6 = x = -3/2 . . . . divide by the coefficient of x (step 2);
Hello!
In order to find the value of x, we should take the value of y and plug it in and then simplify.
[tex]\bold{y=-6x+5}[/tex]
Plug in:
[tex]\bold{14=-6x+5}[/tex]
Switch places:
[tex]\bold{-6x+5=14}[/tex]
Now, subtract 5 from both sides:
[tex]\bold{-6x=14-5}[/tex]
[tex]\bold{-6x=9}[/tex]
Divide both sides by -6 in order to isolate x:
[tex]\bold{x=-\displaystyle\frac{9}{6}}[/tex]
Can this fraction be reduced? Sure, we can divide the numerator (9) and the denominator (6) by 3:
[tex]\bold{-\displaystyle\frac{3}{2}}[/tex]
As a Mixed Fraction:
[tex]\bold{1\displaystyle\frac{1}{2}}[/tex]
Hence, the value of x is:
[tex]\huge\boxed{\boxed{\mathfrak{\star{Answer:{\boxed{-\frac{3}{2} }}}}}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
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