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This means you should not round values or cut off decimal places
Find the intersection of the lines represented by

y=3x-7
and

y=-4x+7.

x=" Number "

y=" Number "

This means you should not round values or cut off decimal places $\newline$ Find the intersection of the lines represented by $\newline$ $y=3 x-7$ $\newline$ and $\newline$ $y=-4 x+7 .$ $\newline$ $x=\text { Number }$ $\newline$ $y=\text { Number }$

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Midpoint formula: find the midpoint

Full solution

Q. This means you should not round values or cut off decimal places

\newline

Find the intersection of the lines represented by

\newline

y=3 x-7

\newline

and

\newline

y=-4 x+7 .

\newline

x=\text { Number }

\newline

y=\text { Number }

Set Equations Equal: Set the two equations equal to each other to find the $x$ -coordinate of the intersection point. $\newline$ Since both equations are equal to $y$ , we can set them equal to each other: $\newline$ $3x - 7 = -4x + 7$
Solve for x: Solve for x. $\newline$ Add $4x$ to both sides: $\newline$ $3x + 4x - 7 = -4x + 4x + 7$ $\newline$ $7x - 7 = 7$
Isolate x: Isolate $x$ . $\newline$ Add $7$ to both sides: $\newline$ $7x - 7 + 7 = 7 + 7$ $\newline$ $7x = 14$
Divide by $7$ : Divide both sides by $7$ to find the value of x. $\newline$ $\frac{7x}{7} = \frac{14}{7}$ $\newline$ $x = 2$
Substitute for $y$ : Substitute $x$ back into one of the original equations to find the $y$ -coordinate of the intersection point. $\newline$ Using $y = 3x - 7$ : $\newline$ $y = 3(2) - 7$ $\newline$ $y = 6 - 7$ $\newline$ $y = -1$

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