Question

help

Answer 1

@texaschic101

Answer 2

basically, you just set them equal to each other and solve for x. Once x is found, sub that back into either of the equations and solve for y

Answer 3

ok

Answer 4

To find x and y, we must first equate the two equations:
\[\frac{ 3 }{ 2 } x = - \frac{ 1 }{ 2 } x + 4\]
Now that we only have a single variable (x), we can solve for one of our missing variables. Let's add half an x to both sides of our equation:
\[\frac{ 3 }{ 2 } x\ + \frac{ 1 }{ 2 } x = - \frac{ 1 }{ 2 } x + \frac{ 1 }{ 2 } x + 4\]
This will give us:
\[2x = 4\]
Now, we divide two to both sides:
\[\frac{ 2x }{ 2 } = \frac{ 4 }{ 2 }\]
And get:
\[x = 2\]
To get y, we just have to plug x = 2 in to one of our starting equations. Usually, we pick the simplest one:
\[y = \frac{ 3 }{ 2 } \left( 2 \right) = 3\]
Now that we have both our x and y, we can state our solution in point form:
\[\left( 2, 3 \right)\]