Find the solution to the system of equations:

Mathematics

1 answer:

LiRa [457]2 years ago

7 0

Answer:y=7 x=14 z=-5

Step-by-step explanation:

For the equation, we need to use the substitution method. So first we will use the y+2z=-3 and subtract 2z from both side and get y=-3-2z. then we will substitute the y in the 2+y+3z=-6 with y=-3-2z so it will be 2+(-3-2z)+3z=-6. then we combine the like-term so it will be -1+z=-6 then add both side with 1 and get z=-5. substitute the z in the y+2z=-3 with -5 and get y-10=-3 then add 10 to both side to get y=7 then substitute the y in the x-2y+z=-5 with 7 and z with -5 so the equation will be x-19=-5 then add the 19 on both side to get x=14.

You might be interested in

George is a fast worker. He can mop 50 ft2 in 1 minute. The court is shaped like a rectangle. It is 95 ft long by 50 ft wide. Ho

Nonamiya [84]

A. 95 95x50=4750 then you divide 4750 by 50 and you get your answer

8 0

3 years ago

Find the midpoint of (2, -1) (-6, 0)

bagirrra123 [75]

Answer: $(-2,-\frac{1}{2} )$

Step-by-step explanation:

Add up both x's and y's and divide them by 2

$(X_m,Y_m)=(\frac{X_1+X_2}{2},\frac{Y_1+Y_2}{2})$

$(X_m,Y_m)=(\frac{2+(-6)}{2},\frac{-1+0}{2})$

$(X_m,Y_m)=(\frac{-4}{2},\frac{-1}{2})$

$(X_m,Y_m)=(-2,-\frac{1}{2} )$

8 0

2 years ago

Using distributive property, find the product of (x+3)(x^2-2x+4)

scoray [572]

The distributive property says that the following is true:

$a(b + c) = ab + ac$

In our problem, we will consider the term outside (or $a$ in the first equation) to be $(x + 3)$ and we will consider the expression inside the parentheses to be $(x^2 - 2x + 4)$ . To use the distributive property, we are going to apply the outside term to all terms within the second expression. This is represented as: