Solve by using substitution or elimination by addition

Mathematics

1 answer:

mihalych1998 [28]3 years ago

3 0

Answer: A. The unique solution to the system is $(1,-5)$

Step-by-step explanation:

You can follow these steps to solve the system of equations by the Elimination Method:

- Multiply the first equation by -3 and the second equation by 2.

- Add both equations and solve for "y".

Then:

$\left \{ {{-3(2x - 5y) = -3(27)} \atop {2(3x + 2y)= 2(-7)}} \right.\\\\\left \{ {{-6x +15y = -81} \atop {6x + 4y= -14}} \right.\\..............................\\19y=-95\\y=-5$

- Substitute the value of "y" into any original equation to find the value of "x". Then:

$2x - 5(-5) = 27\\\\2x=27-25\\\\2x=2\\\\x=1$

Therefore, the unique solution to the system is $(1,-5)$

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