Advertisements
Advertisements
Question
Find x and y, if `[(3x, 8)][(1, 4),(3, 7)] - 3[(2, -7)] = 5[(3, 2y)]`
Solution
`[(3x, 8)][(1, 4),(3, 7)] - 3[(2, -7)] = 5[(3, 2y)]`
`=> [(3x + 24, 12x + 56)] - [(6, -21)] = [(15, 10y)]`
`=> [(3x + 24 - 6, 12x + 56 + 21)] = [(15, 10y)]`
`=> [(3x + 18, 12x + 77)] = [(15, 10y)]`
Comparing the corresponding elements, we get
∴ 3x + 18 = 15
`=>` 3x = 15 – 18 = –3
∴ x = `(-3)/3` = –1
And 12x + 77 = 10y
`=>` 12 × (–1) + 77
`=>` 10y = –12 + 77
`=>` 10y = 65
∴ y = `65/10` = 6.5
Hence x = –1, y = 6.5
APPEARS IN
RELATED QUESTIONS
Evaluate:
`2[(-1, 0),(2, -3)] + [(3, 3),(5, 0)]`
Find the matrix A, if `B = [(2, 1),(0, 1)]` and `B^2 = B + 1/2 A`.
If A = `|(15,7),(13,8)|` and B = `|(16 , 12),(27,11)|` , find matrix X such that A + X
Given A = `[(1, 4),(2, 3)]` and B = `[(-4, -1),(-3, -2)]` find a matrix C such that C + B = `[(0, 0),(0, 0)]`
If A = `[(0, -1),(1, 2)]` and B = `[(1, 2),(-1, 1)]` Find the matrix X if : X – 3B = 2A
Find X and Y If X + Y = `[(7, 0),(2, 5)]` and X – Y = `[(3, 0),(0, 3)]`
If `[(a, 3),(4, 2)] + [(2, b),(1, -2)] - [(1, 1),(-2, c)] = [(5, 0),(7, 3)]` Find the value of a,b and c
Determine the matrices A and B when A + 2B = `[(1, 2),(6, -3)] and 2"A" - "B" = [(2, -1),(2, -1)]`
If A = `[(7, 5),(-3, 3)]` and B = `[(-2, 5),(1, 0)]`, then the matrix P (such that A + P = B) is ______.
If `4[(5, x)] - 5[(y, -2)] = [(10, 22)]`, the values of x and y are ______.
