If , find values of x and y .
The given matrix equation is,
x [ 2 3 ] + y [ − 1 1 ] = [ 10 5 ]
Solve the given matrix equation for x and y,
x [ 2 3 ] + y [ − 1 1 ] = [ 10 5 ] [ 2 x 3 y ] + [ − y y ] = [ 10 5 ] [ 2 x − y 3 x + y ] = [ 10 5 ]
Compare both sides of above equation,
2 x − y = 10 (1)
And,
3 x + y = 5 (2)
Add equation (1) and equation (2).
5 x = 15 x = 3
Substitute the value of x in equation (2),
y = 5 − 3 x y = 5 − 3 ( 3 ) y = 5 − 9 y = − 4
Therefore, the value of x is 3 and the value of y is − 4 .
The given matrix equation is,
Solve the given matrix equation for x and y,
Compare both sides of above equation,
And,
Add equation (1) and equation (2).
Substitute the value of
Therefore, the value of x is 3 and the value of y is
