Linear Equations

For which of the following values of a and b do the given equations have NO solution? ![Screenshot 2025-05-08 215059.pn...

Find the values of x, y, and z that satisfy the system of equations: x + 1.5y + 2z = 5.5 x + 5y + 7z = 15 3x + 11y + 13...

Find the value of 'k' for which the system of equations 4x + 6y = 7 and 6x + (k + 4)y - 21 = 0 has a unique solution....

Given a linear equation in two variables: 5x + 7y - 8 = 0, which of the following linear equations, along with the given...

If the system of the following equations has the value of the variables as three consecutive integers, then the value of...

The relation between K1 and K2 for which the system of linear equations K1x + 3y = 8 and 4x + K2y = 16 represents coin...

Find the values of 'a' and 'b' for which the system of equations 3x + y = 3 and (a - b)x + (a + b)y = 3a + b - 3 has inf...

For what value of K does the following system have an infinite number of solutions? x + 2Ky - 8 = 0 2x - y - 16 = 0...

Find the solution (x, y, z) for the system of equations: 5x + 4y - 8z = 1 7x - 9y + z = -1 2x + 3y - 4z = 1...

Find the values of x, y, and z that satisfy the system of equations: 5x – 3y + 7z = 22; 3x – 5y – 2z = –46; 2x – 2y +...

What conclusion can be drawn about the solution of the following system of linear equations in two variables: 3x + 2y = ...

If the equations 4x + (k − 2)y + 3 = 0 and (k − 2)x + 9y − 5 = 0 (k > 0) are parallel, then find the value of k^2 + 6....

If 0.4x + 0.16y = 1.7 and 0.3x + 0.12y = 3.4, then which of the following is correct?...

For what value of k does the system of equations 4x + 12y + 36 = 0 and 5x + ky + 45 = 0 have an infinite number of solut...

For what value of k does the system of equations kx - 15y + 7 = 0 and 7x - 21y - 19 = 0 have no solution?...

Which of the following is the sum of the values of a and b if the equations 2x + y = a, 8x + by = 12 have infinite solut...

For the system of equations ax + by = 2 and 3x - (5 - 2a)y = 6, find the values of a and b such that the system has infi...

Solve the given set of three equations to get the value of the unknowns: x + 2z = 3 x + 2y + 3z = 5 3x - 5z = -1...

Find the values of x, y and z, so as to satisfy the equations: x + y + z = 12; x + y – z = 6; x – y + z = 4....

For what value of k will the lines 2x + 7ky - 8 = 0 and x + y - 9 = 0 have no solution?...