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
xeze [42]
3 years ago
12

Solve the following system of equations2x – 3y = 64x+2y=4​

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
5 0

Answer:

\boxed{(\frac{3}{2} ,-1)}

Step-by-step explanation:

\left \{ {{2x-3y=6} \atop {4x+2y=4}} \right.

It seems this system of equations would be solved easier using the elimination method (the x and y values are lined up).

Multiply everything in the first equation by -2 (we want the 4x to be able to cancel out with a -4x).

2x-3y=6 \rightarrow -4x+6y=-12

Now line up the equations (they are already lined up - convenient) and add them from top to bottom.

\left \{ {{-4x+6y=-12} \atop {4x+2y=4}} \right.

The -4x and 4x are opposites, so they cancel out.

Adding 6y and 2y gives you 8y, and adding -12 and 4 gives you -8.

8y=-8

Divide both sides by 8.

y=-1

Since you have the y-value you can substitute this in to the second (or first equation, it doesn't necessarily matter) equation.

4x +2(-1)=4

Simplify.

4x -2=4

Add 2 to both sides.

4x=6

Divide both sides by 4.

x=\frac{6}{4} \rightarrow\frac{3}{2}

The final answer is x=\frac{3}{2} ,~y=-1.

(\frac{3}{2} ,-1)

You might be interested in
There are (4^9)^5 ⋅ 4^0 books at the library. What is the total number of books at the library?
Sidana [21]
(4^9)^5 \cdot 4^0=4^{9*5} \cdot 1=4^{45}
3 0
3 years ago
A cake decorator rolls a piece of stiff paper to form a cone. She cuts off the tip of the cone and uses it as a funnel to pour d
Nimfa-mama [501]

Answer:

Step-by-step explanation:

Use the formula for volume of a cone

V = 1/3 pi r^2 (h)

V = 1/3 pi 66^2 (18)

V= 1/3 pi 4356(18)

V = 1/3 pi 78408

V = 1/3 264,201.12

V = 82,067.04cm^3

5 0
2 years ago
What is the perimeter of this figure? fractions
Alona [7]

Answer:

A

Step-by-step explanation:

You can add the numbers to get the perimeter

10 1/3 + 15 2/3 = 26

18 1/4 + 24 1/4= 42 1/2

26 + 42 1/2= 68 1/2

That is answer choice A

7 0
2 years ago
This is the full page plz help
Scorpion4ik [409]
Angle 1 is congruent to angles 3, 5, and/or 7

Angle 2 is congruent to angles 4, 6, and/or 8

Angle 5 is congruent to angles 7, 3 and/or 1

Angle 6 is congruent to angles 8, 4, and/or 2

Any of these answers could work for the blanks.


Angles 1 and 3, 2 and 4, 5 and 7, and angles 6 and 8 are congruent because they are vertical angles. They have the same vertex. Not all of these are congruent to each other if this doesn’t make sense. It’s only 1 is congruent to 3, 2 congruent to 4, etc.

Then you have your corresponding angles. These are ones like angles 2 and 6, then 1 and 5. You can also have 8 and 4, or 7 and 3 as corresponding angles

Transversal angles are different. This would be like angles 3 and 4, or 1 and 2. They are not always congruent. The only time they will be congruent is if they are both 90°. Transversal angles are essentially supplementary angles on the transversal line (the line that intersects through the set of parallel lines)












3 0
3 years ago
Simplify: (5+√−9)(−9+√−196)
Margaret [11]

Answer:

-1809 + 899i  or

-1809 + √-899

Step-by-step explanation:

foil method

i² = -1

5 0
2 years ago
Other questions:
  • Factor completely 2x3 + x2 - 18x - 9
    10·2 answers
  • 37 1/2 % as a decimal
    13·2 answers
  • A rectangular box is to have a square base and a volume of 20 ft3. If the material for the base costs $0.30 per square foot, the
    14·1 answer
  • Solve for w.<br><br> 6w+18-9w = -12<br><br> Simplify your answer as much as possible.<br><br> W=
    13·2 answers
  • Will give brainlessst if you answer plsssss
    14·1 answer
  • F(x) = 2x-9<br> (a) Find f<br><br> Would realllyy appreciate if you guys help me with this one :)
    10·1 answer
  • porsha owns 15% of Kenya Moore hair care. the rest of the shares are owned by the remainder of her friends, Kandi, Cynthia, Eva,
    11·1 answer
  • Write the slope-intercept form for the equation of the line through the given point with the given slope.
    7·1 answer
  • 32% of 36 is what number?
    12·2 answers
  • What is the scale factor of this dilation? 2/3, 1 1/2, 3, 5?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!