The solution is x = -10, y = 9
Step-by-step explanation:
Given equations are:
[tex]7x+5y = -25\ \ \ \ Eqn\ 1\\5x+3y = -23\ \ \ Eqn\ 2[/tex]
Multiplying equation 1 by 3
[tex]3(7x+5y) = -25 * 3\\21x+15y = -75\ \ \ Eqn\ 3[/tex]
Multiplying equation 2 by 5
[tex]5(5x+3y) = -23 * 5\\25x+15y = -115\ \ \ Eqn\ 2[/tex]
Subtracting equation 3 from equation 4
[tex](25x+15y) - (21x+15y) = -115 - (-75)\\25x+15y-21x-15y = -115+75\\4x = -40[/tex]
Dividing both sides by 4
[tex]\frac{4x}{4} = \frac{-40}{4}\\x = -10[/tex]
Putting x = -1 in equation 1
[tex]7(-10)+5y = -25\\-70+5y = -25\\5y = -25+70\\5y = 45[/tex]
Dividing both sides by 5
[tex]\frac{5y}{5} = \frac{45}{5}\\y = 9[/tex]
Hence,
The solution is x = -10, y = 9
Keywords: Linear equations, variables
Learn more about linear equations at:
- brainly.com/question/8520610
- brainly.com/question/846474
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