Question

Solve x and y : x+y=10, x-y=20

Answer 1

Answer:

y = 5 , x = 15

Step-by-step explanation:

$x + y = 20 \\ x - y = 10 \\ 2x = 30 \\ x = 15 \\ so \: \: \: \: y = 5$

Answer 2

Concept

A linear equation in two variables is of the form Ax + By + C = 0, in which A and B are the coefficients, C is a constant term, and x and y are the two variables, each with a degree of 1. For example, x + 2y + 4 = 0 is a linear equation in two variables. If we consider two such linear equations, they are called simultaneous linear equations.

Given

1) x+y=10

2) x-y=20

Find

Values of x and y

Solution

We will be using Elimination method

x+y=10

x-y=20

Adding both the equations we get

2x  = 30

x = 15

Using value of x in equation 1

15 + y = 20

y = 20 - 15

y = 5

The values of x and y are 15 and 5 respectively.

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