Solve the system of equations. 3x + 4y = -23 x = 3y + 1 y = X=

Mathematics

2 answers:

horrorfan [7]2 years ago

6 0

Answer:

(-5, -2)

Step-by-step explanation:

3x+4y=-23

x=3y+1

since we have what x is, we need to subsitute

3( 3y+1) + 4y= -23

no we need to multiply the number inside the parenthesis by 3

9y + 3 + 4y= -23

combine like terms ( add the numbers or variables that look alike)

9y+4y is 13y

13y+3= -23

since we need to get the y alone we need to subtract 3 on both sides since its the opposite of adding

13y+3-3=-23-3

13y= -26

now we divide 13 on both sides to get Y alone

13y/13= -26/13

y= -2

now since we have y we need to substitute it to find x

x= 3y+1

x= 3( -2) +1

now we mutliply 3 with -2

x= -6 +1

x=-5

those are ur answers

y= -2

x= -5

hope this helped:D

lianna [129]2 years ago

4 0

Answer:

x = -5

y = -2

Step-by-step explanation:

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Given a polynomial f(x), if (x − 4) is a factor, what else must be true?

ollegr [7]

Answer:

$f(4)=0$

Step-by-step explanation:

The Remainder Theorem states that when you divide a polynomial $f(x)$ by a linear factor $(x-a)$ , where $a$ is a constant, the remainder is $f(x)$ evaluated at $x=a$

Moreover, according to the Factor Theorem, an extension of the Remainder Theorem, if the remainder of the function $f(x)$ is 0 when evaluated at $x=a$ , then $(x-a)$ is said to be a factor of the polynomial $f(x)$

Given the 2 theorems above, it follows that if $(x-4)$ is a factor of $f(x)$ , then the remainder is equal to 0 when $f(x)$ is evaluated at $x=4$