SOLUTION: Solve the following system of equations. If the system cannot be solved, state that it cannot be solved and explain why. 3x-2y=4 2x-5y=21

SOLUTION: Solve the following system of equations. If the system cannot be solved, state that it cannot be solved and explain why. 3x-2y=4 2x-5y=21

Algebra.Com

Question 150192: Solve the following system of equations. If the system cannot be solved, state that it cannot be solved and explain why.
3x-2y=4
2x-5y=21

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
3x-2y=4
2x-5y=21
-----------
Multiply eqn 1 by 2, and eqn 2 by 3
6x -4y = 8
6x -15y = 63
Subtract 2 from 1
0x +11y = -55
y = -5
Sub for y into either eqn
3x -2*(-5) = 4
3x + 10 = 4
3x = -6
x = -2
Both check
RELATED QUESTIONS
Solve the following system of equations. If the system cannot be solved, state that it... (answered by checkley77)

Solve the following system of equations. If the system cannot be solved, state that it... (answered by ReadingBoosters)

solve the following system of equations.if the system cannot be solved,state that it... (answered by stanbon)

I am beyond confused on how to solve system of equations.. The book example is not clear... (answered by josgarithmetic)

------------ Solve for the system of equation. If it cannot be solved, explain why. (answered by lwsshak3)

Solve for the system of equation. If it cannot be solved, explain why. 4x+5y = -5 (answered by lwsshak3)

Solve for the following systems of equations. If they cannot be solved, explain why. (answered by Lukas007)

a) Is y = x^2 + 7x + 12 a quadratic equation*? Why or why not? b) Can it be solved by... (answered by Alan3354)

a) Is y = x^2 + 7x + 12 a quadratic equation*? Why or why not? b) Can it be solved by... (answered by solver91311)