What is the solution of this linear system?
4x+y=-1
y= -2x+3

(- 2, 7)

Step-by-step explanation:

Given the 2 equations

4x + y = - 1 → (1)

y = - 2x + 3 → (2)

Substitute y = - 2x + 3 into (1)

4x - 2x + 3 = - 1

2x + 3 = - 1 ( subtract 3 from both sides )

2x = - 4 ( divide both sides by 2 (

x = - 2

Substitute x = - 2 into (2) for corresponding value of y

y = -2(- 2) + 3 = 4 + 3 = 7

Solution is (- 2, 7)

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

0 is its x and y coordinate