Answer:
The solution is:
[tex](3, -4)[/tex]
Step-by-step explanation:
We have the following equations
[tex]-4x - 9y =24[/tex]
[tex]7x + 3y =9[/tex]
To solve the system multiply by 3 the second equation and add it to the first equation
[tex]3*7x + 3*3y =3*9[/tex]
[tex]21x + 9y =27[/tex]
[tex]-4x - 9y =24[/tex]
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[tex]17x=51[/tex]
[tex]x=\frac{51}{17}[/tex]
[tex]x=3[/tex]
Now substitute the value of x in any of the two equations and solve for y
[tex]7(3) + 3y =9[/tex]
[tex]21 + 3y =9[/tex]
[tex]3y =9-21[/tex]
[tex]3y =-12[/tex]
[tex]y =-\frac{12}{3}[/tex]
[tex]y =-4[/tex]
The solution is:
[tex](3, -4)[/tex]
