Question

What is the solution of the system of linear equations? y=3/2 x+1 and y=3/4 x-2

Answer 1

(-4,-5)

y= -5

x= -4

Explanation:

y=3/2x+1

y=3/4x-2

solve using the comparison method

3/2x+1=3/4x-2

subtract 3/2 from both sides

-3/4x+1=-2

subtract 1 from both sides

3/4x=-3

divide both sides by 3/4

x= -4

substitute the value of x into an equation

y=3/2(-4)+1

distribute

y= -6+1

add, but 6 is negative so subtract

y= -5

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(-4,-5)

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