Since the value on both sides are the same, hence there are infinite number of solution for the system of equation
Given the system of equations expressed as:
Y+2x=7
14-4x=2y
Using the substitution method.
From equation 1, y = 7 - 2x
Substitute into equation 2
14-4x = 2(7 - 2x)
Expand
14 - 4x = 14 - 4x
0x = 0
Since the value on both sides are the same, hence there are infinite number of solution for the system of equation
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The slope is and the y-intercept is .
This function is written in slope-intercept form, which is . In this form, is the slope and is the y-intercept.
In this case, and , so those are the answers to this problem.
For this case we have that by definition, the equation of a line of the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cutoff point with the y axis
We have the following equation:
So we have to:
Answer:
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+ y = -1 ⇒ y = - 1
To graph this line, plot a point at the y-intercept (0, -1), than plot the next point using the rise over run from the slope by counting up 1 and to the right 3 of the y-intercept. This gives you a second point of (3. 0). Draw a line through those two coordinates.
Answer: Plot (0, -1) and (3, 0) and draw a line through them.
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y = 4 + ⇒ y = + 4
Same as above. Plot the y-intercept (0, 4) and then use rise over run from the slope to plot (3, 5).
Answer: Plot (0, 4) and (3, 5) and draw a line through them.
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You should end up with two PARALLEL lines. Since the lines never intersect, there are no solutions to this system of equations.
Answer: No Solution
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