Solve the system of equations

Solve the system of equations for x and y:
y = 3x
2x - 3y = 14 

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y = 3x
2x - 3y = 14

2x - 3(3x) = 14   {substituted 3x, in for y, into bottom equation}
2x - 9x = 14   {multiplied -3 by 3x}
-7x = 14   {combined like terms}
x = -2   {divided both sides by -7}

y = 3x   {top equation}
y = 3(-2)   {substituted -2, in for x, into top equation}
y = -6   {multiplied}

x = -2 and y = -6
the point of intersection would be (-2,-6)

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