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elixir [45]
2 years ago
12

5x-2y=30 complete the missing solution to the equation​

Mathematics
2 answers:
liraira [26]2 years ago
6 0
The equation is y=5/2x - 15 or if solving for X is -6
Step-by-step explanation:
In terms of y=mx+b, we are to make the Y by itself.
Step 1. -2y = -5x +30
Make y become positive!
Step 2. 2y = 5x - 30
Distribut the 2 over to make it 1y.
Step 3. 1y = 5/2x - 15
The equation is y=5/2x - 15
If you are to find X it would be....
-15 divided by 2.5 gets you x= -6
astra-53 [7]2 years ago
4 0

Answer:

I would have to go with x = 8 and y = 5, meaning the solution is (8, 5).

Step-by-step explanation:

5x - 2y = 30

5(8) - 2(5) = 30

40 - 10 = 30

30 = 30

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Describe and correct the error a student made when graphing y+5=-3/4(x-8).
Elis [28]
In step 1 the y-intercept should be plotted at (0,-6)
Step-by-step explanation:
Remember that to find the Y intercept in any linear equation you need to use 0 as your X value, this means taking the formula in the y=mx+b form and replacing X with a 0.
Since the formula is y = -3/4x -6
We just insert a 0 insted of the "x"
y = -3/4(0) -6
y=0-6
y=6
So the y-intercept sould be placed in (0,-6)
That's what he did wrong when graphing the equation.
8 0
3 years ago
Equation for ( 6, 13) ( 7900, 5 )
tia_tia [17]

For this case we have that by definition, the equation of the line in the slope-intersection form is given by:

y=mx+b

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis

We have the following points through which the line passes:

(x_ {1}, y_ {1}) :( 6,13)\\(x_ {2}, y_ {2}): (7900,5)

We find the slope of the line:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {5-13} {7900-6} = \frac {-8} {7894} = - \frac {4} {3947}

Thus, the equation of the line is of the form:

y = - \frac {4} {3947} x + b

We substitute one of the points and find b:

13 = - \frac {4} {3947} (6) + b\\13 = - \frac {24} {3947} + b\\13+ \frac {24} {3947} = b\\b = \frac {51335} {3947}

Finally, the equation is:

y = - \frac {4} {3947} x + \frac {51335} {3947}

Answer:

y = - \frac {4} {3947} x + \frac {51335} {3947}

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