exam Maths Puzzle Numerical Ability

Solve for X

10^(x+3)= 5e^(7-x)

I have only gotton to here: 2^(x+3)= e^(7-x)

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exam Other Question

What is the value of y for the line that has a slope of -2/3 and passes through the points (3,5) and (7,y)? I do not understand how to solve systems of linear equations in three variables.

Could someone please explain how I would solve this problem

x+y-z=-1
-4x+-y+2z=-7
2x+-2y+-5z=7