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ANSWER

A. (0.4, 1)

EXPLANATION

The given system of equations is:

y=-5x+3

y=1

We equate the two equations to obtain;

[tex] - 5x + 3 = 1[/tex]

Group the similar terms to obtain;

[tex] - 5x = 1 - 3[/tex]

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

We divide both sides by -5 to get,

[tex]x = \frac{ - 2}{ - 5} [/tex]

[tex]x = \frac{ 2}{ 5} [/tex]

[tex]x = 0.4[/tex]

Therefore the solution is (0.4,1)

gmany

Answer:

[tex]\large\boxed{A.\ (0.4,\ 1)}[/tex]

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}y=-5x+3\\y=1\end{array}\right\\\\\text{Put the value of y from the second equation to the first equation:}\\\\1=-5x+3\qquad\text{subtract 3 from both sides}\\\\-2=-5x\qquad\text{divide both sides by (-5)}\\\\\dfrac{-2}{-5}=x\to \boxed{x=0.4}[/tex]

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