<img src="https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%209%20y-x%3D1" id="TexFormula1" title="x + y = 9 y-x=1" alt="x + y = 9 y-x=1

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enyata [817]

2 years ago

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What are the values of x and y?

Mathematics

1 answer:

Lapatulllka [165]2 years ago

5 0

Answer:

x = $\frac{4}{5}$ , y = $\frac{1}{5}$

Step-by-step explanation:

Express as 2 equations, that is

x + y = 1 → (1)

- x + 9y = 1 → (2)

Add the 2 equations term by term to eliminate x, that is

10y = 2 ( divide both sides by 10 )

y = $\frac{2}{10}$ = $\frac{1}{5}$

Substitute this value into (1) and solve for x

x + $\frac{1}{5}$ = 1 ( subtract $\frac{1}{5}$ from both sides )

y = $\frac{5}{5}$ - $\frac{1}{5}$ = $\frac{4}{5}$

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