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Solve the system of equations by elimination. Express the solution as an ordered pair.
-6x + y = -3
5x - 2y = -8

Sagot :

Answer:

The solution is (2,9)

Step-by-step explanation:

The equations are:

-6x + y = -3

5x - 2y = -8

Elimination:

One of the coefficients(either x or y) must be opposite, so I will multiply the first equation by 2.

-12x + 2y = -6

5x - 2y = -8

Adding the equations:

[tex]-12x + 5x + 2y - 2y = -6 - 8[/tex]

[tex]-7x = -14[/tex]

[tex]7x = 14[/tex]

[tex]x = \frac{14}{7}[/tex]

[tex]x = 2[/tex]

Finding y:

[tex]5x - 2y = -8[/tex]

[tex]5(2) - 2y = -8[/tex]

[tex]2y = 18[/tex]

[tex]y = \frac{18}{2}[/tex]

[tex]y = 9[/tex]

Solution as an ordered pair:

(x,y) = (2,9)

The solution is (2,9)

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