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3 years ago

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use the elimination method to solve the system of equations. choose the correct ordered pairs -x + y=-3 and 3x + 2y=9

1 answer:

Agata [3.3K]3 years ago

3 0

-x+y=-3, 3x+2y=9

1. multiply the first row by the second
-2x+2y=-6, 3x+2y=9

2. subtract the second row from the first row
-5x=-15

3. sole for x in the above equation
x=-15/-5
x=15/5
x=3

4. substitue x=3 into -2x+2y=-6
-2*3+2y=-6

5. solve for y in the above equation
-6+2y=-6
2y-6=-6
2y=0
y=0

6 therefore,
x=3 and y=0

Have a nice day :D

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Read 2 more answers

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

$y=mx+b$

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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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