Question

Find the solution to the system of equations. Write the solution as an ordered pair.

3x – 2y = –9
4x + 3y = 22

Answer 1

Answer:

Step-by-step explanation:

3x - 2y = –9

3x−2y+2y=−9+2y

3x=2y−9/3x^3

=2y−9/3

x=2/3y−3

4x + 3y = 22

4x+3y+−3y=22+−3y

4x=−3y+22

4x4

=−3y+22/4

x=−3/4y+11/2

Answer 2

The solution of the given system of equations  are x=1 and y=6

What is Linear equation?

An equation between two variables that gives a straight line when plotted on a graph.

Given,

3x - 2y = -9

4x + 3y = 22

Consider the first linear equation

3x-2y = -9

3x= -9+2y

x= $\frac{-9+2y}{3}$

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

Substitute the values in the second linear equation

4($\frac{2}{3}y-3$)+3y=22

$\frac{8}{3} y-12+3y=22\\\frac{17}{3}y=22+12\\ \frac{17}{3}y=34\\y=6$

Substitute the value of y in the first linear equation

3x-2y= -9

3x-2×6=-9

3x-12=-9

3x=3

x=1

Hence, Solution of the given system of equations are x=1 and y=6

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