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Harman [31]
3 years ago
7

Solve the system algebraically. y = 3 - x 3x + 4y = 1 What is the value of x? -11 17/2 11

Mathematics
2 answers:
PtichkaEL [24]3 years ago
6 0
Y= 3 -x                         (1)

3x + 4y = 1                  (2)

Substitute (1) for y in (2)

3x + 4(3 - x) = 1

Expand, simplify and then solve for x

3x + 12 - 4x = 1
3x - 4x = 1 -12
-x = -11

x = 11

Aloiza [94]3 years ago
3 0

Answer:

The required value of x = 11

Step-by-step explanation:

The system of equations are given to be :

y = 3 - x .......(1)

3x + 4y = 1 ......(2)

We need to find the value of x by solving these two given system of equations

So, To solve the given equations : Putting value of y from equation (1) into equation (2)

⇒ 3x + 4y = 1

⇒ 3x + 4(3 - x) = 1

⇒ 3x + 12 - 4x = 1

⇒ -x = 1 - 12

⇒ -x = -11

⇒ x = 11

Thus, The required value of x = 11

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x

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G

x

Subtract  

G

x

from both sides of the equation.

x

2

−

2

x

+

3

−

G

x

=

0

Use the quadratic formula to find the solutions.

−

b

±

√

b

2

−

4

(

a

c

)

2

a

Substitute the values  

a

=

1

,  

b

=

−

2

−

G

, and  

c

=

3

into the quadratic formula and solve for  

x

.

−

(

−

2

−

G

)

±

√

(

−

2

−

G

)

2

−

4

⋅

(

1

⋅

3

)

2

⋅

1

Simplify.

Tap for more steps...

x

=

2

+

G

±

√

G

2

+

4

G

−

8

2

The final answer is the combination of both solutions.

x

=

2

+

G

+

√

G

2

+

4

G

−

8

2

x

=

2

+

G

−

√

G

2

+

4

G

−

8

2

Step-by-step explanation:

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