Pre-stats: Logic and Reasoning

[sterile robin]

Hello, everyone. I’m in grade 12 taking pre-stats, and right now we’re in the unit logic and reasoning. I’m stuck on this question, I don’t really know where to start. Any help would be greatly appreciated, thanks very much!

[sterile robin]

Please help this ws is due tomorrow 😭

[sterile robin]

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[fossil slate]

not sure if this is the most efficient way to solve but i would solve for one of the variables in terms of two others and substitute into another equation

for example the first equation x+y+z+4=42 becomes x=-y-z+38

then x(bicycle) may be substituted into the second equation y+4 = x+z to get y+4 = -y+38

[humble grotto]

start by replacing phone and bike from first equation with the sun and 4 from the second equation. y + y + 4 + 4 = 42

[humble grotto]

and based on that information, u can use the 4th equation to solve for bike and phone

,tex $$x + y + z + 4 = 42$$ $$y + 4 = x + z$$ $$x + 4 + y = z + z$$ $$y + z + x = y + y + 4$$

[fallen iron]

@humble grotto

[humble grotto]

,tex $$x + y + z + 4 = 42$$ $$y + 4 = x + z$$ $$x + 4 + y = z + z$$ $$y + z + x = y + y + 4 \to z + x = y + 4$$