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Consider the system of equations.
3x - y = 5,
2x + 3y = -15
Which value can the first equation be multiplied by to form opposite values on the y-term?
The solution to the system of equations is

Respuesta :

artsykhathy

Answer:

3x − y = 5,

2x + 3y = −15

Which value can the first equation be multiplied by to form opposite values on the y-term? 3

The solution to the system of equations is (0, -5).

Cetacea

Multiply by 3.

Solution is x=0, y=-5.

The coefficients of y are -1 and 3.

If we multiply the first equation by 3. Then the coefficients of y will be 3 and -3. They are opposite values.

After multiplying the first equation by 3 we get:

[tex]3(3x - y) = 3(5)\\9x-3y=15[/tex]

Then we add it with the second equation.

[tex]9x-3y+2x+3y=15-15\\11x=0\\x=0[/tex]

Using x=0 in 3x - y = 5 we get:

[tex]3(0) - y = 5\\0-y=5\\y=-5\\[/tex]

Solution is x=0, y=-5.

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