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3 years ago

Andre tried to solve the equation 1/4(x+12)=2 what was his mistake?

Mathematics

2 answers:

timofeeve [1]3 years ago

7 0

He didn’t multiply by 4 first

GalinKa [24]3 years ago

3 0

Answer:

x = 8 (read below for Andre's mistakes)

Step-by-step explanation:

How to actually solve:

1/4(x+12) = 2

1/4(-4+12)=2

1/4(8)=2

How he solves:

1/4(x+12)=2

1/4(x+12)-12=2-12

1/4x=-10

x=-40

So apparently Andre's first mistake is he didn't use PEMDAS. His second mistake was instead of dividing by 4, he multiplied by 4.

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Which graph shows the following system of equations and its solutions? -0.1x-0.3y=1.2 and 0.2x-0.5y=2

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Answer:

Option b is the correct answer as both the equations are true for given solution.

Step-by-step explanation:

Given equations are:

-0.1x-0.3y=1.2

0.2x-0.5y=2

We can observe each graph and find the point that is the solution and put the point in the equations to know if that point is the solution

For option A:

(0,4)

Putting x=0 and y = 4 in both equations

$-0.1(0)-0.3(4)=1.2\\0-1.2 =1.2\\-1.2 \neq 1.2\\0.2(0)-0.5(4)=2\\0-2 = 2\\-2 \neq 2$

This is not the correct answer as both equations are not true with this solution

For Option B:

(0,-4)

Putting x = 0 and y = -4 in both equations

$-0.1(0)-0.3(-4)=1.2\\0+1.2 = 1.2\\1.2 = 1.2\\0.2x-0.5y=2\\0.2(0)-0.5(-4) = 2\\2 = 2$

Both equations are true for (0,-4) hence it is the solution of the system.

For Option C:

(4,0)

$-0.1(4)-0.3(0)=1.2\\-0.4-0 = 1.2\\-0.4 \neq 1.2\\0.2x-0.5y=2\\0.2(4)-0.5(0) = 2\\0.8 \neq 2$

Not true for both equations

Hence,

Option b is the correct answer.

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