The solution is x=1 and y=-2
Further explanation:
Given equations are:
[tex]\frac{7}{2}x-\frac{1}{2}y=\frac{9}{2}\\3x-y=5[/tex]
Multiplying equation no. 1 with 2 will give us:
[tex]7x-y=9[/tex] Eqn 3
From equation no 2:
[tex]3x-y=5\\-y=5-3x\\y=3x-5[/tex]
Putting the value of y in eqn 3
[tex]7x-(3x-5)=9\\7x-3x+5=9\\4x=9-5\\4x=4\\\frac{4x}{4}=\frac{4}{4}\\x=1\\Putting\ x=1\ in\ equation\ 2\\3(1)-y=5\\3-y=5\\-y=5-3\\-y=2\\y=-2\\[/tex]
The solution is x=1 and y=-2
Keywords: Linear equations, Solution set
Learn more about linear equations at:
- brainly.com/question/561665
- brainly.com/question/537998
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