The solution is x = 4 and y = -1
Step-by-step explanation:
The system of equation is:
To solve it using the elimination method do that
∵ y = [tex]\frac{1}{2}[/tex] x - 3 ⇒ (1)
∵ y = x - 5 ⇒ (2)
- Subtract equation (1) from equation (2) to eliminate y
∵ y - y = (x - [tex]\frac{1}{2}[/tex] x) - 5 - (-3)
- Remember (-)(-) = (+)
∴ 0 = [tex]\frac{1}{2}[/tex] x - 5 + 3
∴ 0 = [tex]\frac{1}{2}[/tex] x - 2
- Add 2 to both sides
∴ 2 = [tex]\frac{1}{2}[/tex] x
- Multiply both sides by 2
∴ 4 = x
∴ x = 4
- Substitute the value of x in equation (1) or (2) to find y
∵ y = 4 - 5
∴ y = -1
The solution is x = 4 and y = -1
Learn more:
You can learn more about the system of linear equations in brainly.com/question/2115716
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