How many solutions does this linear system have?
y =
x+ 2
6x - 4y = -10
O
one solution: (-0.6, -1.6)
one solution: (-0.6, 1.6)
no solution
O
infinite number of solutions

Respuesta :

Answer:

one solution: (-1,1)

Step-by-step explanation:

we have

[tex]y=x+2[/tex] ----> equation A

[tex]6x-4y=-10[/tex] ----> equation B

Solve the system by substitution

Substitute equation A in equation B

[tex]6x-4(x+2)=-10[/tex]

solve for x

[tex]6x-4x-8=-10[/tex]

[tex]6x-4x=-10+8[/tex]

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

[tex]x=-1[/tex]

Find the value of y

[tex]y=x+2[/tex] ----> [tex]y=-1+2=1[/tex]

The solution is the point (-1,1)

therefore

one solution: (-1,1)