MATHEMATICS HIGH SCHOOL

Solve the following system.y = x + 3
4x + y = 18

(6, 3)

(3, 6)

(−3, 6)

(3, −6)

Answers

Answer 1
Answer: y = x + 3 . . . (1)
4x + y = 18 . . . (2)

Putting (1) into (2) gives
4x + x + 3 = 18
5x = 18 - 3 = 15
x = 15/5 = 3
x = 3
y = x + 3 = 3 + 3 = 6

Solution = (3, 6)
Answer 2
Answer: the answer is 3,6 this was easy

Related Questions

One store sells a ream of paper for $37.25. Another store sells the same paper for $32.50. What are your savings at the second store?a. $5.25 b. $3.75 c. $4.75 d. $4.25
A total of 234 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold?
6 1/2 +7/2=maths work out plz
How do I find the missing side length?
Substitution and elimination are two symbolic techniques used to solve linear equations. For example, if it is easy to set up an equation for substitution where 1 variable is on 1 side, then use that; For example, 4y=16+4x, you can easily divide by 4, get y=4+x (or y=x+4), and plug that into the other equation. In other cases where it may not be so easyFractions/decimals, etc., then you would probably rather use elimination.1) The substitution method. This method is best utilized when one of the variables in one of the equations has a coefficient of 1 or -1, otherwise you will introduce fractions. Substitution can also be used for nonlinear systems of equations.(2) Linear combinations also called the elimination method, multiplication and addition method, etc... My personal favorite as it can be done efficiently. It generalizes well to larger systems and is the underpinning of various other solution methods.As the name implies it requires the equations to be linear.You need to know both and be comfortable switching between them.Can we get one for the elimination method too?Also, can you solve the same problem using either of the two techniques?

A boat is moving at a velocity of –14 miles per hour.If east is taken as the positive direction, what direction is the boat moving?

A.It is moving east, but is slowing down.
B.It is moving west, but is slowing down.
C.It is moving east.
D.It is moving west.

Answers

Answer:

d

Step-by-step explanation:

(8n+10) divided by 2, for n=5

Answers

Answer: 25

Step-by-step explanation:

(8(5) + 10) / 2

40 + 10 / 2

50 / 2

25
The answer would be 25. (8(5)+10 = 50 50/2 = 25. Hope that helped!

How do you find the volume of an L-Block

Answers

To work this out, you need to picture the L as two different cuboids.

The " I "part of the L and the " - " part of the L .

You get the dimensions of "height, width, length"  of the " I " part, multiply them together. Save this number

Then you do the same for the " - " part of the L. Save this number

Add the two numbers you saved.

Tell whether or not the value is a solution to the inequality

Answers

Answer:

Yes, n = -2.9 is a solution to the given inequality.

Step-by-step explanation:

To determine if n = -2.9 is a solution to the inequality 10.4 ≥ -2n + 4.6, substitute the value of n into the inequality.

10.4 ≥ -2(-2.9) + 4.6

10.4 ≥ 5.8 + 4.6

10.4 ≥ 10.4

Since the last line of the inequality states that 10.4 is greater than or equal to 10.4, which is true, this means that the original inequality holds true when n = -2.9.

So, n = -2.9 is a valid solution to the inequality 10.4 ≥ -2n + 4.6.

Why does the amount of water that flows in a river change during the year?

Answers

because of the rain. It can either increase or decrease

Find the distance from the point (-3,6) to the line y=-3/2x-5

Answers

To find the distance from the point (-3,6) to the line y = -3/2x -5, we can use the formula for the distance between a point and a line. The formula is:

distance = |Ax + By + C| / sqrt(A^2 + B^2)

In this case, A = -3/2, B = 1, and C = 5. Substituting these values into the formula and plugging in the coordinates of the point (-3,6), we get:

distance = |-3/2(-3) + 1(6) + 5| / sqrt((-3/2)^2 + 1^2)

Simplifying further, we get:

distance = |9/2 + 6 + 5| / sqrt(9/4 + 1)

Simplifying the fraction under the square root, we get:

distance = |9/2 + 6 + 5| / sqrt(9/4 + 4/4)

Continuing to simplify, we get:

distance = |9/2 + 6 + 5| / sqrt(13/4)

Calculating further, we get:

distance = |9/2 + 6 + 5| / sqrt(13)/2

Finally, simplifying and calculating, we get:

distance = |9/2 + 6 + 5| / sqrt(13)/2 = 20/ sqrt(13) ≈ 5.44 units

So, the distance from the point (-3,6) to the line y = -3/2x -5 is approximately 5.44 units.
Other Questions
If you teach me how to mark brainlest i will mark you brainlest and you will get 20 points.
-2y > 2 a. a b. b c. c d. d
Martin has a combination of 33 quarters and dimes worth a total of $6. Which system of linear equations can be used to find the number of quarters, q, and the number of dimes, d, Martin has?A) q + d = 6 25q + 10d = 33 B) q + d = 6 0.25q + 0.1d = 33 C) q + d = 33 25q + 10d = 6 D) q + d = 33 0.25q + 0.1d = 6
What is the distance between points (4, -7) and (-5, 9)? Round to the nearest tenth of a unit |____|units