SOLUTION: Good Afternoon, I would really appreciate any help possible to turn this equation below that was done in a substitution technique into GRAPHICAL Technique.
y=4x-7
3x+2y=30
Algebra.Com
Question 804134: Good Afternoon, I would really appreciate any help possible to turn this equation below that was done in a substitution technique into GRAPHICAL Technique.
y=4x-7
3x+2y=30
Take the second equation:
3x+2y=30
Replace the letter "y" by the right side of the first equation which is
4x-7 placed within parentheses like this: (4x-7)
3x+2(4x-7)=30
Now use the distributive principle
to remove the parentheses.
3x+8x-14=30
Combine the like terms 3x and 8x
and get 11x
11x-14=30
Add 14 to both sides
11x=44
Divide both sides by 11
x=4
That's the answer for x,
But you also need the value for y.
So take the first equation
y=4x-7
And replace x by (4)
y=4(4)-7
y=16-7
y=9
So the solution is: x=4 and y=9
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Your system of two equations:
y=4x-7
3x+2y=30
Solve both equations for y, and graph each line on the same coordinate system.
The second equation,
Slope Intercept form.
The first equation is already solved for y and is in slope intercept form.
y-intercept for the first equation is read from the equation, at y=-7.
y-intercept for the second equation is +15=y.
You would use the slope to count where other reference points are found.
THIS graph helps you see how to plot the lines.
This graph lets you see the intersection of the lines more closely:
Notice the intersection appears to be (4,9).
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