Please answer the question and show work. thx

The solution of given system of linear equation is:
x=3 and y=10
Step-by-step explanation:
Given equations are:
-8x+5y=26 Eqn 1
9x-3y=-3 Eqn 2
Multiplying equation 1 by 9
-72x+45y=234 Eqn 3
Multiplying Equation 2 by 8
72x-24y=-24 Eqn 4
Adding Eqn 3 and 4
[tex]-72x+45y+72x-24y=234-24\\ 21y=210[/tex]
Dividing both sides by 21
[tex]\frac{21y}{21}=\frac{210}{21}\\y=10[/tex]
Putting y=10 in equation 1
[tex]-8x+5(10)=26\\-8x+50=26[/tex]
Subtracting 50 from both sides
[tex]-8x+50-50=26-50\\-8x=-24[/tex]
Dividing both sides by -8
[tex]\frac{-8x}{-8}=\frac{-24}{-8}\\x=3[/tex]
Hence the solution of given system of linear equation is:
x=3 and y=10
Keywords: Linear Equations, Variables
Learn more about linear equations at:
#learnwithBrainly