the equations x+5y = 10, 3x-y = 1, x-5y = 10, and 3x+y = 1 are shown on the graph below.

which is the approximate solution for the system of equations x+5y = 10 and 3x+y = 1?

a. (–0.3, 2.1)

b. (–0.3, –2.1)

c. (0.9, –1.8)

d. (0.9, 1.8)

The approximate solution is (-0.36, 2.08).

Step-by-step explanation:

Given system of equations :

x+5y=10 and 3x+y=1.

Let us solve the system of equation by substitution.

Solving second equation 3x+y=1 for y first.

3x+y=1.

Subtracting 3x from both sides, we get

3x-3x+y=1-3x

y = 1-3x.

Substituting y=1-3x in first equation x+5y=10, we get

x+ 5(1-3x) = 10.

x + 5 -15x =10

-14x +5 = 10.

Subtracting 5 from both sides, we get

-14x +5-5 = 10-5

-14x =5

Dividing by -14 on both sides, we get

-14x/-14=5/-14

x= -0.36.

Plugging x=-0.36 in second equation y=1-3x, we get

y = 1-3(-0.36) = 1+1.08 = 2.08.

Therefore, approximate solution is (-0.36, 2.08).what is the approximate solution for the system of equations x+5y=10 and 3x+y=1

step-by-step explanation:

tell me the answer first then i will answer it

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