{[y=x-4],[y=4x+2]:} x=

Set Equations Equal: Set the two expressions for y equal to each other since they both represent the same variable y. y = x - 4 y = 4x + 2 Set x - 4 equal to 4x + 2. x - 4 = 4x + 2 Solve for x: Solve for x by moving all x terms to one side of the equation. Subtract x from both sides to get: x - 4 - x = 4x + 2 - x This simplifies to: -4 = 3x + 2 Isolate x: Isolate x by moving the constant terms to the other side of the equation. Subtract 2 from both sides to get: -4 - 2 = 3x + 2 - 2 This simplifies to: -6 = 3x Divide by 3: Divide both sides by 3 to solve for x. -6 / 3 = 3x / 3 This simplifies to: -2 = x

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$\left\{\begin{array}{l}y=x-4 \\ y=4 x+2\end{array}\right.$ $\newline$ $x=$ $\newline$ $y=$

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Grade 7

Evaluate multi-variable expressions

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\left\{\begin{array}{l}y=x-4 \\ y=4 x+2\end{array}\right.

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x=

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y=

Set Equations Equal: Set the two expressions for $y$ equal to each other since they both represent the same variable $y$ . $y = x - 4$ $y = 4x + 2$ Set $x - 4$ equal to $4x + 2$ . $x - 4 = 4x + 2$
Solve for x: Solve for x by moving all x terms to one side of the equation. $\newline$ Subtract $x$ from both sides to get: $\newline$ $x - 4 - x = 4x + 2 - x$ $\newline$ This simplifies to: $\newline$ $-4 = 3x + 2$
Isolate x: Isolate x by moving the constant terms to the other side of the equation. $\newline$ Subtract $2$ from both sides to get: $\newline$ $-4 - 2 = 3x + 2 - 2$ $\newline$ This simplifies to: $\newline$ $-6 = 3x$
Divide by $3$ : Divide both sides by $3$ to solve for $x$ . $-6 / 3 = 3x / 3$ This simplifies to: $-2 = x$