# How do you solve the following system of equations?: 3x – 2y = -7 , 4x+3y=8?

Apr 22, 2018

$y = \frac{52}{17} \mathmr{and} 3.059$

#### Explanation:

Using substitution,

• Take any of the 1 of the 2 equations and isolate a variable ($x$ or $y$)

I'm going to isolate $x$ in the equation $3 x - 2 y = - 7$

That gives:

$x = \frac{- 7 + 2 y}{3}$

• Take that above and substitute it into the x of the other equation

$4 \left(\frac{- 7 + 2 y}{3}\right) + 3 y = 8$

• Solve for $y$

$y = \frac{52}{17} \mathmr{and} 3.059$