Question

If y = 7,
Solve for x in 5y + 3x + 2y - 8x = -1

Answer 1

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!

Answer 2

Hey there!

`\textsf{5y + 3x + 2y - 8x = -1}`

➬
`\textsf{7y - 5x = -1}`

➬
`\textsf{7(7) - 5x = -1}`

➬
`\textsf{49 - 5x = -1}`

➬
`\textsf{ -5x + 49 = -1}`

`\huge\boxed{{\bf SUBTRACT \ 49 \ to \ BOTH \ SIDES}}`

`\textsf{-5x + 49 - 49 = -1 - 49}`

⇢
`\textsf{CANCEL out: 49 - 49 because it gives you 0}`

⇢
`\textsf{KEEP: -1 - 49 because it helps solve for your x-value}`

↱
`\textsf{-1 - 49 = -50}`↰

`\huge\textsf{New EQUATION: \boxed{ \bf -5x = -50}}`

`\huge\boxed{\textsf{\bf DIVIDE -5 to BOTH SIDES}}`

`\mathsf{(-5x)/(-5)=(-50)/(-5)}`

⤳
`\textsf{CANCEL out: } \mathsf{(-5)/(-5)} \textsf{ because it gives you 1}`

⤳
`\textsf{KEEP: } \mathsf{(-50)/(-5)} \textsf{ because it helps you get the x-value}`

`\huge\textsf{New EQUATION: \boxed{\bf x = (-50)/(-5)}}`

`\mathsf{x = (-50)/(-5)}`

`\mathsf{(-50)/(-5) = x }`

`\huge\boxed{\bf SIMPLIFY \ ABOVE\ \& \ YOU\ HAVE}\\\huge\boxed{\bf YOUR\ RESULT \ OF\ THE \ X-VALUE}`

`\mathsf{(-50)/(-10) = \bf 10}`

`\huge\boxed{\textsf{Therefore, your answer is: x = 10}}\huge\checkmark`

~
`\frak{Amphitrite1040:)}`