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

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