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Solve the system of equations using substitution or elimination by addition.
x + y = 0.2
-0.5x + 0.7y = -0.94

Select the correct choice below and if necessary, fill in the answer box to complete your choice.

A.The solution is ___ ​(Type an ordered​ pair.)
B.There are infinitely many solutions.
C.There is no solution.

Answer :

qrse

Answer:

A. The solution is (0.9,-0.7)

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

( 0.9 ,− 0.7 )

Equation Form:

x  =  0.9  & y  =  − 0.7

luisejr77

Answer: A. The unique solution to the system is [tex](0.9,-0.7)[/tex]

Step-by-step explanation:

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

- Multiply the first equation by 0.5, then add both equations and solve for "y":

[tex]\left \{ {{0.5(x + y) = 0.5(0.2)} \atop {-0.5x + 0.7y = -0.94}} \right.\\\\\left \{ {{0.5x + 0.5y = 0.1} \atop {-0.5x + 0.7y = -0.94}} \right.\\...............................\\1.2y=-0.84\\y=-0.7[/tex]

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

[tex]x + (-0.7) = 0.2\\\\x=0.2+0.7\\\\x=0.9[/tex]

 Therefore, the unique solution to the system is [tex](0.9,-0.7)[/tex]

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