The solution of given system of linear equation is:x=3 and y=10Step-by-step explanation:Given equations are:-8x+5y=26 Eqn 19x-3y=-3 Eqn 2Multiplying equation 1 by 9-72x+45y=234 Eqn 3Multiplying Equation 2 by 872x-24y=-24 Eqn 4Adding 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=10Keywords: Linear Equations, VariablesLearn more about linear equations at:brainly.com/question/11280112brainly.com/question/11286417#learnwithBrainly