Choose the system of equations which matches the following graph.
3x + 4y = 24
3x + y = −3
3x + 4y = 24
3x − y = 3
3x − 4y = −24
3x + y = −3
3x − 4y = −24
3x − y = 3
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OpenStudy (anonymous):
OpenStudy (anonymous):
Looking at the graph one line has slope ~ 2/3 and y-intercept = 6.
The other line has slope slope 3 and y-intercept = -3.
OpenStudy (anonymous):
Why don't you rearrange your equations to solve for y?
OpenStudy (jiteshmeghwal9):
if any of the equation equation can be represented like this\[{a_1\over a_2}\ne{b_2 \over b_2}\]then the equation can be represented through the graph like given:)
OpenStudy (mertsj):
Choose the system in which the lines have slopes of 3/4 and 3.
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OpenStudy (anonymous):
what are a and b
OpenStudy (anonymous):
Right, slope of 3/4 not 2/3
OpenStudy (mertsj):
ax+by=c
OpenStudy (mertsj):
a is the coefficient of x and b is the coefficient of y
OpenStudy (anonymous):
Oh
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OpenStudy (anonymous):
So change the values to y=?
OpenStudy (mertsj):
Use the fact that if the line is written in the form ax+by=c then it's slope is "the opposite of a over b"
OpenStudy (mertsj):
So the slope of 3x+4y=24 is -3/4
OpenStudy (anonymous):
Isn't opposite 4/3?
OpenStudy (anonymous):
Take the third pair of equations. Solve for y.
y = 3/4 x + 6
y = -3x - 3
Does that match the data given? (No).
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