Question

Y=1/2x-3,y=x-5I've been trying for hours pls help me with the elimination method​

Answer 1

The solution is x = 4 and y = -1

Step-by-step explanation:

The system of equation is:

• y = $\frac{1}{2}$ x - 3
• y = x - 5

To solve it using the elimination method do that

∵ y = $\frac{1}{2}$ x - 3 ⇒ (1)

∵ y = x - 5 ⇒ (2)

- Subtract equation (1) from equation (2) to eliminate y

∵ y - y = (x - $\frac{1}{2}$ x) - 5 - (-3)

- Remember (-)(-) = (+)

∴ 0 = $\frac{1}{2}$ x - 5 + 3

∴ 0 = $\frac{1}{2}$ x - 2

- Add 2 to both sides

∴ 2 = $\frac{1}{2}$ 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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