!MATH EMERGENCY PLEASE ANSWER CORRECTLY

Answer:

x=4/3; y=7/3

Step-by-step explanation:

x+2y=6,

x=6-2y.

7(6-2y)-y=7,

42-14y-y=7,

15y=35,

y=7/3.

x+2y=6,

x+2*7/3=6

x=4/3

∴x=4/3, y=7/3.

Final answer:

To estimate the solution to the system of equations (7x-y=7) and (x+2y=6), we can use the method of substitution. The estimated solution is x = 1.46 and y = 2.27.

Explanation:

To estimate the solution to the system of equations (7x-y=7) and (x+2y=6), we can use the method of substitution. We can solve one equation for one variable and substitute it into the other equation. Let's solve the second equation for x: x = 6 - 2y.

Substituting this value of x into the first equation, we get:

7(6 - 2y) - y = 7

42 - 14y - y = 7

41 - 15y = 7

-15y = 7 - 41

-15y = -34

y = -34 / -15

y = 2.27

Now, substitute this value of y back into the second equation to find x:

x + 2(2.27) = 6

x + 4.54 = 6

x = 6 - 4.54

x = 1.46

Therefore, the estimated solution to the system of equations is x = 1.46 and y = 2.27.

Learn more about System of Equations here:

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Answer:

d) (x+4)² = 21

Step-by-step explanation:

2x² + 16x - 10 = 0

x² + 8x - 5 = 0

Applyingthemethodofcompletingthesquare

x+ 8x + (½×8)²-(½×8)²- 5 = 0

x² + 8x + (4)² - (4)² - 5 = 0

(x+4)²-16-5=0

(x + 4)² -21 = 0

(x + 4)² = 21

Answer:

y = -8

Step-by-step explanation:

Instead of trying to find the slope of the line through these two points in the usual rise/run fashion, note that y does not change as we progress from x= -5 to x= +8.  This tells us immediately that this line is a horizontal one:  y = -8.