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Maurinko [17]
3 years ago
11

Solve the following system of equations by substitution. 2x - y = 6 x + y = 6

Mathematics
2 answers:
m_a_m_a [10]3 years ago
5 0

y=-x+6

2x-(-x+6)=6

3x=12

x=4

4+y=6

y=2

Levart [38]3 years ago
4 0
X+y=6 so y=6-x using this value for y in the other equation:

2x-(6-x)=6

2x-6+x=6

3x-6=6

3x=12

x=4, and since x+y=6, 4+y=6 so

y=2

So the solution is the point (4,2)


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A rectangle has four right angles. What other shape has four right angles?
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Answer:

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Explanation:

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4 years ago
The Expression 4x^2-p(x)+7 leaves a remainder of -2 when divided by (x-3) find the value of p
Romashka-Z-Leto [24]

Answer:

(c)  For p = 15,  4x^2-p(x)+7 leaves a remainder of -2 when divided by (x-3).

Step-by-step explanation:

Here,  The dividend expression is  4x^2-p(x)+7 = E(x)

The Divisor = (x-3)

Remainder  = -2

Now, by <u>REMAINDER THEOREM</u>:

Dividend  = (Divisor x Quotient)  + Remainder

If ( x -3 ) divides the given polynomial with a remainder -2.

⇒  x = 3  is a  solution of given polynomial E(x)  - (-2) =  

E(x)  - (-2)  = 4x^2-p(x)+7 -(-2)  = 4x^2-p(x)+9 =  S(x)

Now, S(3) = 0

⇒4x^2-p(x)+9 = 4(3)^2 - p(3) + 9 = 0\\\implies 36 - 3p + 9 = 0\\\implies 45= 3p , \\or p  =15

or, p =1 5

Hence, for p = 15,  4x^2-p(x)+7 leaves a remainder of -2 when divided by (x-3).

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