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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

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