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Negative StartFraction one-half EndFraction y equals StartFraction one-half EndFraction x plus 5 and y equals 2 x plus 2.Y = x + 5 and y = 2x + 2.

Sagot :

Answer:

The solution of the system of equation is (3,8)

Step-by-step explanation:

We are given that

[tex]y=x+5[/tex]...(1)

[tex]y=2x+2[/tex]...(2)

We have to graph the system of linear equation.

For equation (1)

Substitute x=0

[tex]y=5[/tex]

Substitute y=0

[tex]x=-5[/tex]

Therefore, we obtained two points  (0,5) and (-5,0) for equation (1).

For equation (2)

Substitute x=0

[tex]y=2[/tex]

Substitute y=0

[tex]2x=-2[/tex]

[tex]x=-1[/tex]

Therefore, we obtained two points  (0,2) and (-1,0) for equation (2).

Now, we find intersection point of two equation

Substract equation (2) from (1)

[tex]x=3[/tex]

[tex]x=3[/tex]

Substitute x=3 in equation (1)

[tex]y=3+5=8[/tex]

The intersection point of two equation is at (3,8).

Hence, the solution of given system of equation is (3,8).

View image lublana

Answer:

(-4,-6)

Step-by-step explanation:

The intersection point is (-4,-6) when you both equations in the calculator. The person who answered this first is wrong.

View image ChloeDecker66