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
sleet_krkn [62]
3 years ago
14

Solve the system of equations. y=-3x+4 -4x+y=-10​

Mathematics
2 answers:
aksik [14]3 years ago
8 0

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

y =  - 3x + 4

Add sides 3x

y + 3x = 3x - 3x + 4

3x + y = 4

_________________________________

1) \: 3x + y = 4

2) \: - 4x + y =  - 10

Multiply sides of the (( equation 2 )) by - 1

1) \: 3x + y = 4

2) \: 4x - y = 10

Add up equations

3x + 4x + y - y = 4 + 10

7x = 14

Divide sides by 7

\frac{7x}{7}  =  \frac{14}{7}  \\

x = 2

Put the value of x in one of the (1) or (2) equations to find the value of y .

<em>I </em><em>put </em><em>it </em><em>in </em><em>equation</em><em> </em><em>1</em><em> </em><em>:</em><em> </em>

3x + y = 4

3(2) + y = 4

6 + y = 4

y + 6 = 4

Subtract sides 6

y + 6 - 6 = 4 - 6

y =  - 2

And we're done...

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Angelina_Jolie [31]3 years ago
7 0

Answer:

Step-by-step explanation:

In this particular case we have the following system of equations:

y

=

−

3

x

+

4

[

E

q

.

1

]

x

+

4

y

=

−

6

[

E

q

.

2

]

Substituting

[

E

q

.

1

]

in

[

E

q

.

2

]

:

x

+

4

(

−

3

x

+

4

)

=

−

6

Applying the distributive property on the left side:

x

−

12

x

+

16

=

−

6

Simplifying

:

−

11

x

=

−

22

Solving for

y

:

x

=

−

22

−

11

=

2

Substituting

x

=

2

in

[

E

q

.

1

]

:

y

=

−

3

(

2

)

+

4

=

−

2

Therefore

, the solutions are

x

=

2

and

y

=

−

2

You might be interested in
Find the angle between 0° and 360° that is coterminal with a 443° angle.
Yakvenalex [24]

Answer:

If you rotate an angle 360 degrees around, your final angle will be facing the same direction

Thus, the coterminal angle is 443^\circ-360^\circ=83^\circ

4 0
2 years ago
Which equation is equivalent to the equation 6x+9=12?
erica [24]

Answer:

x=1/2

Step-by-step explanation:

7 0
3 years ago
What is the x intercept of the line 3x+2y-10=0
Vesna [10]
To find the x int, sub in 0 for y and solve for x
3x + 2y - 10 = 0
3x + 2(0) - 10 = 0
3x - 10 = 0
3x = 10
x = 10/3.....so ur y int is 10/3 or (10/3,0)
5 0
3 years ago
Read 2 more answers
How many terms are in the expression below?<br><br> 3x3+4x+7
kifflom [539]

Answer:

3

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Ilida went to minewaska state park One day this summer. All of the people at the park were either hiking or bike riding. There w
expeople1 [14]
676 - 178 is 498.
498/2 is 249.
There were 249 bike riders and (249 + 178) hikers.
5 0
3 years ago
Other questions:
  • Arjun deposited $30 in a savings account earning 5% interest, compounded annually to the nearest cent, how much interest will he
    14·1 answer
  • Write the integer as a product of two integers such that one of the factors is a perfect square. 27
    12·1 answer
  • a machine starts dumping sand at the rate 20 m^3/min, forming a pile in the shape of a cone. The height of the pile is always tw
    6·1 answer
  • Your local Ford dealership is having a sale. All 2008 model trucks have been reduced by 15% and for a limited time, all tra
    13·1 answer
  • Rujuan
    9·1 answer
  • I need to know what all the missing measurements are.​
    13·2 answers
  • Which statement about an extraneous solution is not correct? Select all that apply.
    13·1 answer
  • What is the slope of the line QR?
    8·2 answers
  • Pls help this is the only question I don’t know!
    5·2 answers
  • If a dress costs $27.00 when it’s on sale for 10% off, what is its original cost?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!