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16 votes
Y = 2x + 4
and
y = 2x - 8

Solve the systems by substitution

User Zpalmtree
by
5.6k points

1 Answer

9 votes

Answer:

-x - y - z = -8 ........ (1a)

-4x + 4y +5z = 7 ..... (2a)

2x + 2x = 4 .......... (3a)

since (3a) a is an equation solely in x make x the subject of the equation

2 ( x + x) = 4

divide both sides by 2

(x + x) = 2

2x = 2

x = 1 ....... (3b)

substitute x in (3b) for x in (1a)

-(1) - y - z = -8

make y the subject of the equation

-y - z = -8 + 1

-y = -7 + z

y = 7 - z ..... (1b)

substitute y in (1b) for y in (2a) as well as the value of x ( x= 1)

-4(1)+ 4( 7 - z ) +5z = 7

- 4 + 28 - 4z + 5z = 7

-24 + z = 7

z = 7 + 24

z = 31

By using (1a) solve for y

-(1) - y - (31)= -8

-1 - y - 31 = -8

y = -1 - 31 + 8

y = -24

∴ the solutions of the system are x = 1 ; y = -24 ; z = 31

Hope this helps!!!!!!!

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User Jonathan Charlton
by
5.1k points