Question

# Solve the following systems of linear equations3x – 2y = 4-3x + 5y = -7

Verified
146.1k+ views
Hint: There are many ways to solve a system of linear equations . You can directly solve them using algebra or draw them on graphs. One of the many ways is to add one equation to the other.

We have the first equation,
3x – 2y = 4, let us call it equation 1
and
-3x + 5y = -7, equation 2
Now add equation 2 to equation 1
$\Rightarrow$ $3x - 2y + \left( { - 3x + 5y} \right) = 4 + \left( { - 7} \right)$
$\Rightarrow$ 3y = -3
$\Rightarrow$ y = -1
And putting the value of y in any one of these two equations
We get ,
3x + 2 = 4
$\Rightarrow$ $x = \dfrac{2}{3}$

Note: A system of linear equations is when we have two or more linear equations working together . This question could also be done by substitution of variables and also by constructing a graph.