Answer:
x = 1
y = 3
Step-by-step explanation:
<h2>
<em><u>Substitution Method</u></em><em><u>:</u></em></h2>
Step 1:
Name The Equation
4x + y = 7 ...(1)
3x + 2y = 9 ...(2)
Step 2:
From Equation (1) we get,
4x = 7 - y
i.e.,
x = 7 - y/4
Step 3:
Substitute the value of <em><u>x = 7 - y/4</u></em> in equation (2)
i.e.,
3(7 - y/4) + 2y = 9
21 - 3y/4 + 2y = 9
21 - 3y + 8y/4 = 9
21 - 3y + 8y = 9 * 4
21 + 5y = 36
5y = 36 - 21
5y = 15
y = 15/5
<em><u>y = 3</u></em>
Step 4:
Substitute the value of <em><u>y = 3</u></em> in equation (1)
4x + y = 7
i.e.,
4x + (3) = 7
4x + 3 = 7
4x = 7 - 4
4x = 4
x = 4/4
<em><u>x = 1</u></em>
<h2><em><u>Verification</u></em><em><u>:</u></em><em><u> </u></em></h2>
4x + y = 7 i.e., <em>4(1) + (3) = 7</em>
3x + 2y = 9 i.e., <em><u>3(1) + 2(3) = 9</u></em>
Answer:
16x² + 64x + 64
Step-by-step explanation:
Given
A = 16x²
Increasing the sides by 2, substitute x = x + 2 into A
A = 16(x + 2)² ← expand factor using FOIL
= 16(x² + 4x + 4 ) ← distribute
= 16x² + 64x + 64
Hello,
Answer is Dsince y=k(x-2)²-5 and if k=1 ==>D.
Answer:
Simplified = 5
Classification = Monomial
Step-by-step explanation:
<h2>PART I: Simplify the expression</h2>
<u>Given expression:</u>
3x² + 6x + 5 - 3x (2 + x)
<u>Expand parenthesis by distributive property:</u>
= 3x² + 6x + 5 - 3x (2) - 3x (x)
= 3x² +6x + 5 - 6x - 3x²
<u>Put like terms together:</u>
= 3x² - 3x² + 6x - 6x + 5
= 0 + 0 + 5
= 
<h2>PART II: Classify polynomial</h2>
<u>Concept:</u>
Polynomial is classified by the number of terms a polynomial has.
- Monomial: a polynomial with only one term
- Binomial: a polynomial with two terms
- ...
<u>Classify the given expression:</u>
Original = 3x² + 6x + 5 - 3x (2 + x)
Simplified = 5
5 is a constant and it has only one term
Therefore, it is a <u>monomial</u>.
Hope this helps!! :)
Please let me know if you have any questions