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(08.03)A system of equations is given below:

y = –2x + 1
6x + 2y = 22

Which of the following steps could be used to solve by substitution?
6x + 2(−2x + 1) = 22
−2x + 1 = 6x + 2y
6(−2x + 1) + 2y = 22
6(y = −2x + 1)

Respuesta :

ghanami
hello : 
y = –2x + 1 ....(1)
6x + 2y = 22 ....(2)
by substitution in (2) : 6x+2(-2x+1) =22
6x-4x+2 = 22
2x =20
x =10
in(1) : y =-2(10)+1 = -19 

Answer:

6x + 2(−2x + 1) = 22

Step-by-step explanation:

The given equations are :

[tex]y =-2x+1[/tex]    ....(1)

[tex]6x+2y=22[/tex]    ....(2)

Substitution means, putting in the values of x or y in the second equation.

We have been given the value of 'y' (1) so we will put that in place of 'y' in the (2) equation.

[tex]6x+2(-2x+1)=22[/tex]

So, we can solve it further.

[tex]6x-4x+2=22[/tex]

[tex]2x=22-2[/tex]

[tex]2x=20[/tex]

[tex]x=10[/tex]

And [tex]y =-2(10)+1[/tex]

[tex]y =-20+1[/tex]

[tex]y =-19[/tex]

So, the 1st option is the right answer: 6x + 2(−2x + 1) = 22

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