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morpeh [17]
3 years ago
11

What is the x-coordinate of the solution of the system? x+y+3 4x-y=-38

Mathematics
1 answer:
steposvetlana [31]3 years ago
6 0

<em>Note: I am assuming the first equation is:</em>

<em>x+y = 3</em>

Answer:

The solution to the system of equations is:

(x, y) = (-2, 36)

Therefore, the x-coordinate of the solution of the system

x = -2

Step-by-step explanation:

Given the system of equations

\begin{bmatrix}x+y=34\\ x-y=-38\end{bmatrix}

subtracting the equations

x-y=-38

-

\underline{x+y=34}

-2y=-72

solve -2y for y

-2y=-72

Divide both sides by -2

\frac{-2y}{-2}=\frac{-72}{-2}

y=36

For x+y=34 plug in y = 36

x+36=34

Subtract 36 from both sides

x+36-36=34-36

Simplify

x=-2

Thus, the solution to the system of equations is:

(x, y) = (-2, 36)

Therefore, the x-coordinate of the solution of the system

x = -2

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skad [1K]

Answer:

D

Step-by-step explanation:

Firstly,  

≤  or  ≥  means closed circle, and

<   or >  means open circle

Now, let's solve the compound inequality:

x - 1 ≤ 7

x ≤ 8

and

2x ≥ 22

x ≥ 11

This solution means "everything left of 8 (inclusive and closed circle)" and "everything right of 11 (inclusive and closed circle)"

Looking at the choices, D is right.

4 0
3 years ago
If angle EFH(5x+1)’ angle HFG(62 degrees) and angle EFG (18x+11) find each measurement
zloy xaker [14]

Answer:

∠EFH = 21°

∠HFG = 62°

∠EFG = 83°

Step-by-step explanation:

The diagram showing the angles has been attached to this response.

From the diagram, it can be deduced that;

Angle EFG = angle EFH + angle HFG

=> ∠EFG = ∠EFH + ∠HFG                -------------------(i)

From the question:

∠EFH = (5x + 1)°                    -------------(ii)

∠HFG = 62°                          -------------(iii)

∠EFG = (18x + 11)°                 -------------(iv)

<em>Substitute these values into equation (i) as follows;</em>

(18x + 11) = (5x + 1) + 62

=> 18x + 11 = 5x + 1 + 62

<em>Collect like terms and solve for x</em>

18x - 5x = 1 + 62 - 11

13x = 52

x = 4

Now, to get each measurement, substitute x = 4 into each of equations (ii) - (iv)

∠EFH = (5x + 1)°

∠EFH = (5(4) + 1)°

∠EFH = (20 + 1)°

∠EFH = 21°

∠HFG = 62°              [<em>Does not depend on x</em>]

∠EFG = (18x + 11)°

∠EFG = (18(4) + 11)°

∠EFG = (72 + 11)°

∠EFG = 83°

<u>Conclusion:</u>

∠EFH = 21°

∠HFG = 62°

∠EFG = 83°

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