What is the solution to the system of equations y = x - 10 and 2x + y = 4?

Solution:

Given:

Equations are

y = x - 10 --- (1)

2x + y = 4 --- (2)

Substituting (1) in (2)

2x + (x - 10) = 4

By further calculation,

2x + x - 10 = 4

2x + x = 4 + 10

So we get,

3x = 14

x = 14/3

Substitute the value of x in (1)

y = x - 10

y = 14/3 - 10

By further calculation,

y = (14 - 30)/3

y = -16/3

Therefore, the solution is (14/3, -16/3).

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What is the solution to the system of equations y = x - 10 and 2x + y = 4?

Summary:

The solution to the system of equations y = x - 10 and 2x + y = 4 is (14/3, -16/3).