How do you solve the system of equations: y=3x+8 and y=4x+5?

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Answer 1 · 2015-08-06T11:03:37

#{(x=3), (y = 17) :}#

All you have to do in order to solve this system of equations is use the value of #y# that you get from one equation into the other equation.

In your case, you know that

#y = 3x + 8#

and that

#y = 4x + 5#

This automatically implies that

#3x + 8 = 4x + 5#

Solve this equation for #x#, then take thevalue of #x# and use it to find #y#

#4x - 3x = 8 - 5 implies x = color(green)(3)#

This means that #y# will be

#y = 3 * (3) + 8 = color(green)(17)#