Set Equations Equal: The new math problem is to find the value of x that satisfies both equations y = 4x and y = 2x + 10. To do this, we can set the two expressions for y equal to each other since they both represent the same variable y. So, we have 4x = 2x + 10.Subtract and Simplify: Now, we will solve for x by subtracting 2x from both sides of the equation to get the x terms on one side. 4x - 2x = 2x + 10 - 2x This simplifies to 2x = 10.Divide to Solve: Next, we divide both sides of the equation by 2 to solve for x. 2x / 2 = 10 / 2 This gives us x = 5.

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$y=4x$ $\newline$ $y=2x+10$

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Math Problems

Algebra 1

Solve linear equations with variables on both sides

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y=4x

\newline

y=2x+10

Set Equations Equal: The new math problem is to find the value of $x$ that satisfies both equations $y = 4x$ and $y = 2x + 10$ . To do this, we can set the two expressions for $y$ equal to each other since they both represent the same variable $y$ . So, we have $4x = 2x + 10$ .
Subtract and Simplify: Now, we will solve for $x$ by subtracting $2x$ from both sides of the equation to get the $x$ terms on one side. $4x - 2x = 2x + 10 - 2x$ This simplifies to $2x = 10$ .
Divide to Solve: Next, we divide both sides of the equation by $2$ to solve for $x$ . $\newline$ $\frac{2x}{2} = \frac{10}{2}$ $\newline$ This gives us $x = 5$ .