MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Solution of Linear Equation in 2 Variables

Solve the fol...

Question

Solve the following equations.
(i) x - 2 = 7 (ii) y + 3 = 10 (iii) 6 = z + 2

Open in App

Solution

(i) x - 2 = 7
x = 7 + 2
x = 9

(ii) y + 3 = 10
y = 10 - 3
y = 7

(iii) 6 = z + 2
z + 2 = 6
z = 6 - 2
z = 4

Suggest Corrections

thumbs-up

13

Similar questions

Q. Solve the following equations:

2 x - 4 y + 9 z = 28

7 x + 3 y - 5 z = 3

9 x + 10 y - 11 z = 4

Q. Solve the following equations.
(i)

{log}_{2} x = \frac{1}{2}

{log}_{\frac{1}{5}} x = 3

{log}_{3} y = - 2

{log}_{x} 125 \sqrt{5} = 7

{log}_{x} 0.001 = - 3

x + 2 {log}_{27} 9 = 0

Q. Solve the following equations.
(i)

10 - q = 6

2 t - 5 = 3

Q. Solve the following system of equations by matrix method:
(i) x + y − z = 3
2x + 3y + z = 10
3x − y − 7z = 1

(ii) x + y + z = 3
2x − y + z = − 1
2x + y − 3z = − 9

(iii) 6x − 12y + 25z = 4
4x + 15y − 20z = 3
2x + 18y + 15z = 10

(iv) 3x + 4y + 7z = 14
2x − y + 3z = 4
x + 2y − 3z = 0

(v)

\frac{2}{x} - \frac{3}{y} + \frac{3}{z} = 10 \frac{1}{x} + \frac{1}{y} + \frac{1}{z} = 10 \frac{3}{x} - \frac{1}{y} + \frac{2}{z} = 13

(vi) 5x + 3y + z = 16
2x + y + 3z = 19
x + 2y + 4z = 25

(vii) 3x + 4y + 2z = 8
2y − 3z = 3
x − 2y + 6z = −2

(viii) 2x + y + z = 2
x + 3y − z = 5
3x + y − 2z = 6

(ix) 2x + 6y = 2
3x − z = −8
2x − y + z = −3

(x) x − y + z = 2
2x − y = 0
2y − z = 1

(xi) 8x + 4y + 3z = 18
2x + y +z = 5
x + 2y + z = 5

(xii) x + y + z = 6
x + 2z = 7
3x + y + z = 12

(xiii)

\frac{2}{x} + \frac{3}{y} + \frac{10}{z} = 4, \frac{4}{x} - \frac{6}{y} + \frac{5}{z} = 1, \frac{6}{x} + \frac{9}{y} - \frac{20}{z} = 2; x, y, z \neq 0

(xiv) x − y + 2z = 7
3x + 4y − 5z = −5
2x − y + 3z = 12

A = [\begin{matrix} 1 & - 2 & 0 \\ 2 & 1 & 3 \\ 0 & - 2 & 1 \end{matrix}]

, find A⁻¹. Using A⁻¹, solve the system of linear equations
x − 2y = 10, 2x + y + 3z = 8, −2y + z = 7

(ii)

A = [\begin{matrix} 3 & - 4 & 2 \\ 2 & 3 & 5 \\ 1 & 0 & 1 \end{matrix}]

, find A⁻¹ and hence solve the following system of equations:
3x − 4y + 2z = −1, 2x + 3y + 5z = 7, x + z = 2

(iii)

A = [\begin{matrix} 1 & - 2 & 0 \\ 2 & 1 & 3 \\ 0 & - 2 & 1 \end{matrix}] and B = [\begin{matrix} 7 & 2 & - 6 \\ - 2 & 1 & - 3 \\ - 4 & 2 & 5 \end{matrix}]

, find AB. Hence, solve the system of equations:
x − 2y = 10, 2x + y + 3z = 8 and −2y + z = 7

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Framing a Linear Equation

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Solution of Linear Equation in 2 Variables

Standard IX Mathematics

Join BYJU'S Learning Program

CrossIcon