Step-by-step explanation:
Hi there!
Given; y= 7
5y + 3x + 2y - 8x = -1
Simply keep the value of y in the equation and simplify it;
5*7 + 3x -8x +2*7 = -1
35 - 5x +14 = -1
-5x = -1-49
X= -50/-5
Therefore, X= 10.
Hope it helps!
Hey there!
[tex]\textsf{5y + 3x + 2y - 8x = -1}[/tex]
➬ [tex]\textsf{7y - 5x = -1}[/tex]
➬ [tex]\textsf{7(7) - 5x = -1}[/tex]
➬ [tex]\textsf{49 - 5x = -1}[/tex]
➬ [tex]\textsf{ -5x + 49 = -1}[/tex]
[tex]\huge\boxed{{\bf SUBTRACT \ 49 \ to \ BOTH \ SIDES}}[/tex]
[tex]\textsf{-5x + 49 - 49 = -1 - 49}[/tex]
⇢ [tex]\textsf{CANCEL out: 49 - 49 because it gives you 0}[/tex]
⇢ [tex]\textsf{KEEP: -1 - 49 because it helps solve for your x-value}[/tex]
↱[tex]\textsf{-1 - 49 = -50}[/tex]↰
[tex]\huge\textsf{New EQUATION: \boxed{ \bf -5x = -50}}[/tex]
[tex]\huge\boxed{\textsf{\bf DIVIDE -5 to BOTH SIDES}}[/tex]
[tex]\mathsf{\dfrac{-5x}{-5}=\dfrac{-50}{-5}}[/tex]
⤳ [tex]\textsf{CANCEL out: } \mathsf{\dfrac{-5}{-5}} \textsf{ because it gives you 1}[/tex]
⤳ [tex]\textsf{KEEP: } \mathsf{\dfrac{-50}{-5}} \textsf{ because it helps you get the x-value}[/tex]
[tex]\huge\textsf{New EQUATION: \boxed{\bf x = \dfrac{-50}{-5}}}[/tex]
[tex]\mathsf{x = \dfrac{-50}{-5}}[/tex]
[tex]\mathsf{\dfrac{-50}{-5} = x }[/tex]
[tex]\huge\boxed{\bf SIMPLIFY \ ABOVE\ \& \ YOU\ HAVE}\\\huge\boxed{\bf YOUR\ RESULT \ OF\ THE \ X-VALUE}[/tex]
[tex]\mathsf{\dfrac{-50}{-10} = \bf 10}[/tex]
[tex]\huge\boxed{\textsf{Therefore, your answer is: x = 10}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
