Understand the equation: Understand the equation. The equation given is 2x - 4y = 44. This is a linear equation in two variables, x and y.Attempt to solve: Attempt to solve for one variable. To solve for one variable, we would typically isolate one variable on one side of the equation. However, since we have two variables and only one equation, we cannot find a unique solution for x and y. Instead, we can express one variable in terms of the other.Solve for y: Solve for y in terms of x. To solve for y, we can add 4y to both sides and then subtract 44 from both sides to get: 2x = 4y + 44 Now, divide both sides by 4 to isolate y: y = (2x - 44) / 4 y = (1/2)x - 11Check for errors: Check the equation for any mathematical errors. We started with 2x - 4y = 44, added 4y to both sides to get 2x = 4y + 44, then divided both sides by 4 to get y = (1/2)x - 11. There are no mathematical errors in these steps.

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$2x - 4y = 44$

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Grade 7

Solve equations involving like terms

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2x - 4y = 44

Understand the equation: Understand the equation. $\newline$ The equation given is $2x - 4y = 44$ . This is a linear equation in two variables, $x$ and $y$ .
Attempt to solve: Attempt to solve for one variable. $\newline$ To solve for one variable, we would typically isolate one variable on one side of the equation. However, since we have two variables and only one equation, we cannot find a unique solution for $x$ and $y$ . Instead, we can express one variable in terms of the other.
Solve for y: Solve for y in terms of x. $\newline$ To solve for y, we can add $4y$ to both sides and then subtract $44$ from both sides to get: $\newline$ $2x = 4y + 44$ $\newline$ Now, divide both sides by $4$ to isolate $y$ : $\newline$ $y = (2x - 44) / 4$ $\newline$ $y = (1/2)x - 11$
Check for errors: Check the equation for any mathematical errors. $\newline$ We started with $2x - 4y = 44$ , added $4y$ to both sides to get $2x = 4y + 44$ , then divided both sides by $4$ to get $y = (\frac{1}{2})x - 11$ . There are no mathematical errors in these steps.