Question

Please answer the question and show work. thx

Answer 1

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

$-72x+45y+72x-24y=234-24\\ 21y=210$

Dividing both sides by 21

$\frac{21y}{21}=\frac{210}{21}\\y=10$

Putting y=10 in equation 1

$-8x+5(10)=26\\-8x+50=26$

Subtracting 50 from both sides

$-8x+50-50=26-50\\-8x=-24$

Dividing both sides by -8

$\frac{-8x}{-8}=\frac{-24}{-8}\\x=3$

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:

• brainly.com/question/11280112
• brainly.com/question/11286417

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