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Sia

Question
Math
Posted 8 months ago

Graph the equation 7x4y=87 x-4 y=8 by plotting points.
Complete the ordered pairs in the table below.
\begin{tabular}{|c|c|}
\hlinexx & (x,y)(x, y) \\
\hline-8 & \\
\hline-4 & \\
\hline 0 & \\
\hline 4 & \\
\hline
\end{tabular}
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Answer from Sia
Posted 8 months ago
Solution by Steps
step 1
Given the equation 7x4y=87x - 4y = 8, we need to solve for yy when x=8x = -8
step 2
Substitute x=8x = -8 into the equation: 7(8)4y=87(-8) - 4y = 8
step 3
Simplify: 564y=8-56 - 4y = 8
step 4
Add 5656 to both sides: 4y=64-4y = 64
step 5
Divide by 4-4: y=16y = -16
Answer
(8,16)(-8, -16)
step 1
Given the equation 7x4y=87x - 4y = 8, we need to solve for yy when x=4x = -4
step 2
Substitute x=4x = -4 into the equation: 7(4)4y=87(-4) - 4y = 8
step 3
Simplify: 284y=8-28 - 4y = 8
step 4
Add 2828 to both sides: 4y=36-4y = 36
step 5
Divide by 4-4: y=9y = -9
Answer
(4,9)(-4, -9)
step 1
Given the equation 7x4y=87x - 4y = 8, we need to solve for yy when x=0x = 0
step 2
Substitute x=0x = 0 into the equation: 7(0)4y=87(0) - 4y = 8
step 3
Simplify: 4y=8-4y = 8
step 4
Divide by 4-4: y=2y = -2
Answer
(0,2)(0, -2)
step 1
Given the equation 7x4y=87x - 4y = 8, we need to solve for yy when x=4x = 4
step 2
Substitute x=4x = 4 into the equation: 7(4)4y=87(4) - 4y = 8
step 3
Simplify: 284y=828 - 4y = 8
step 4
Subtract 2828 from both sides: 4y=20-4y = -20
step 5
Divide by 4-4: y=5y = 5
Answer
(4,5)(4, 5)
Key Concept
Solving linear equations
Explanation
To find the yy-values for given xx-values in a linear equation, substitute the xx-values into the equation and solve for yy.

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