Jeruko
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Lets See how fast can you Answer an High school Math Problem? 1. What is the degree of 7x + 1? 2. What is the solution to the system x + y = 5 and 3x - y = 3? 3. What is (x^4)/(x^0)? I'll check over your answer! You MUST answer all the question and get all the answers right to get Brainliest! Also I need to see how you got that answer!

Respuesta :

Answer:

1) 1

2) (2,3)

3) x⁴

Step-by-step explanation:

1)

We have the expression:

[tex]7x+1[/tex]

The degree of an equation is the largest exponent of the equation.

We can rewrite our expression as:

[tex]=7x^1+1x^0[/tex]

1 is the largest exponent.

Thus, our degree is 1.

2)

We have the system of equations:

[tex]x+y=5\\3x-y=3[/tex]

To solve, we can use substitution.

From the first equation, subtract x from both sides:

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

Substitute this into the second equation:

[tex]3x-(5-x)=3[/tex]

Simplify:

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

Add 5 to both sides:

[tex]3x+x=8[/tex]

Combine like terms:

[tex]4x=8[/tex]

Divide both sides by 4:

[tex]x=2[/tex]

So, x is 2.

Substitute this back into the first equation:

[tex]x+y=5[/tex]

Substitute x for 2:

[tex]2+y=5[/tex]

Subtract 2 from both sides:

[tex]y=3[/tex]

Our solution is (2,3)

3)

We have the expression:

[tex]\frac{x^4}{x^0}[/tex]

Anything to the zeroth power (except for 0) is 1. Assuming x is not 0:

[tex]=x^4/1\\=x^4[/tex]

And that's the simplest it can get.

Answer:

[tex]\Huge \boxed{\mathrm{1. \ 1}} \\ \\ \\ \Huge \boxed{\mathrm{2. \ (2,3)}} \\\\\\ \Huge \boxed{{3. \ x^4 }}[/tex]

Step-by-step explanation:

The degree is the largest exponent on the variable.

[tex]7x^1 + 1x^0[/tex]

The largest exponent on the variable is 1.

The degree is 1.

System of equations:

[tex]x+y=5 \\ \\ 3x-y=3[/tex]

Solving y for the first equation.

Subtracting x from both sides.

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

Substitution method.

[tex]3x-(5-x)=3[/tex]

Distribute negative sign.

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

Combining like terms.

[tex]4x-5=3[/tex]

Adding 5 to both sides.

[tex]4x=8[/tex]

Dividing both sides by 4.

[tex]x=2[/tex]

Substitution method.

[tex]y=5-2 \\ \\ \\ y=3[/tex]

[tex]\displaystyle \frac{x^4 }{x^0 }[/tex]

Subtract exponents with same bases when dividing.

[tex]x^{4-0}[/tex]

[tex]x^4[/tex]

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