1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Savatey [412]
3 years ago
9

Is (1, 4) a solution to this system of equations? 8x + 3y = 20 x + 4y = 17

Mathematics
1 answer:
vampirchik [111]3 years ago
6 0

Answer:

Yes.

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)
  • Systems of Equations

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

8x + 3y = 20

x + 4y = 17

(1, 4)

<u>Step 2: Check</u>

<em>Plug and verify the coordinates is a solution.</em>

  1. Substitute in point [1st Equation]:                                                                    8(1) + 3(4) = 20
  2. Multiply:                                                                                                             8 + 12 = 20
  3. Add:                                                                                                                   20 = 20 \checkmark
  4. Substitute in point [2nd Equation]:                                                                  1 + 4(4) = 17
  5. Multiply:                                                                                                             1 + 16 = 17
  6. Add:                                                                                                                   17 = 17 \checkmark

∴ Since both equations work out, (1, 4) is a solution to the systems of equations.

You might be interested in
Line q has a slope of 5/3. Line r is parallel to line q. What is the slope if line r?​
seropon [69]

Answer:

The slope remains a constant m=\frac{5}{3} as it is parallel.

Explanation:

1. Line Q is defined as a slope of \frac{5}{3}; i.e. y=\frac{5}{3}

2. Line R is defined to be parallel of Line Q.

3. Line Q is linear and has no domain restrictions.

The definition of being parallel requires the same slope.

5 0
2 years ago
A pail hold 6 3/4 gallon of water. how much is this in cups
Ber [7]
There are 16 cups in 1 gallon so you would have to turn the denominator in the fraction into a 16 meaning you would multiply by 4 (because 4 goes into 16, 4 times). Your new fraction is 12/16. now you do 6 gallons*16 cups and you get 96 cups. Then you add the fraction onto 96 and you would be adding 12. Your final answer is 108 cups in 6 3/4 gallons
7 0
3 years ago
Read 2 more answers
The isosceles trapezoid is part of an isosceles triangle with a 36° vertex angle. What is the measure of an acute base angle of
alexandr402 [8]
The answer is D) 72, 108

First you have to find out the measure of the two other angles in the triangle. Those two angles will be equivalent.

Because the sum of all three angles in a triangle is 180, you subtract 36 from it (180 - 36 = 144) then divide by 2 (144/2 = 72).

So, the two angles at the bottom of the triangle are each 72. Because those angles are supplementary to the angles at the top of the trapezoid, you subtract 72 from 180 (180 - 72 = 108).

108 + 108 = 216

The sum of all the angles in a trapezoid is 360, so subtract 216 from 360 (360 - 216 = 144) then divide by 2 (144/2 = 72)
6 0
3 years ago
Solve for x in the diagram below.
Kryger [21]

8x+30=110

8x=110-30

8x=80

x=80/8

x=10

6 0
3 years ago
Read 2 more answers
. If x = 7 + 4√3 then find the value of x2<br> – 1/x2
inessss [21]

Answer:

you can use mathpapa it works

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • R divided by n plus t equals four v times n
    8·1 answer
  • If triangle abc is similar to triangle def with ab=9, bc=11, and ac=16, then which of the following is closest to the ratio of d
    5·1 answer
  • Start time: 9:17 A.M
    12·2 answers
  • Simplify -7(m^3n^4)^2 show work please
    9·1 answer
  • Diameter 32 inches what is the radius?
    12·2 answers
  • E the location for each of the following staring points andlocation changes6. (5.3), 67- 8.5.3
    12·1 answer
  • What single decimal multiplier would you use to increase by 2% followed by a 1% increase?
    5·1 answer
  • Solve each system using elimination. Each system only has one solution. Write your solution in the form (x, y).
    8·2 answers
  • Steve bought 47 pounds of peanuts that cost $0.89 per pound how much did he pay
    8·1 answer
  • 8.92 x 10^6 in scientific notation
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!