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2y-x=0\. $x=y+7$ . If $x,y$ satisfies the given system of equations, what is the value of $x$ ?

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Complementary angle identities

Full solution

Q. 2y-x=0\.

x=y+7

. If

x,y

satisfies the given system of equations, what is the value of

x

?

Substitute Equations: Substitute the second equation into the first equation. $\newline$ We have the system of equations: $\newline$ $1$ ) $2y - x = 0$ $\newline$ $2$ ) $x = y + 7$ $\newline$ Substitute the second equation into the first equation to eliminate $x$ and solve for $y$ . $\newline$ $2y - (y + 7) = 0$
Simplify and Solve for y: Simplify the equation to solve for y. $\newline$ $2y - y - 7 = 0$ $\newline$ $y - 7 = 0$ $\newline$ $y = 7$
Find x Value: Substitute the value of $y$ back into the second equation to find $x$ . $\newline$ $x = y + 7$ $\newline$ $x = 7 + 7$ $\newline$ $x = 14$

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