SOLUTION: Solve the system using elimination. 4x - 5y = 11 6x + 7y = 31 A. (-2, 2) B. (10, 2) C. (4, -5) D. (4, 1)

Question 947975: Solve the system using elimination.

4x - 5y = 11
6x + 7y = 31

A. (-2, 2)
B. (10, 2)
C. (4, -5)
D. (4, 1)
Answer by EdenWolf(517) (Show Source): You can put this solution on YOUR website!
and

To eliminate one of the variables, let us multiply the top equation by 3 and the bottom equation by -2, so we can have 12x on the top and -12x on the bottom, so then we can add the two equations to eliminate the x variable.
and

Now let's add the two equations together, thus eliminating the x variable.

We know that y is 1, so let's plug it into one of the equations. For example, let's just use the first one, to find x.

Thus the answer is D: (4,1).
RELATED QUESTIONS
Solve the system using elimination. 4x - 5y = 11 6x + 7y = 31 A. (-2, 2) B. (10, (answered by etutorworld)

CRAMER RULE, ELIMIATION OR SUBSTITUTION METHOD, AND MATRICES PRACTICE PROBLEMS 1. (answered by richard1234)

2. Solve the system by substitution. 6x - 5y = 11 7x + 5y = 2 (1, -2) (answered by solver91311)

Solve. If the system's equations are dependent or it there is no solution, state this. (answered by Alan3354)

Solve. If the system's equations are dependent or it there is no solution, state this. (answered by solver91311)

Solve the system using substitution. y = 4x - 3 y = 5x - 1 A. (9, -4) B. (5,... (answered by MathLover1)

solve the system using elimination: -1/6x+1/4y=4... (answered by lwsshak3)

so im having problems in my algebra class, how would i do an equation like this ->... (answered by scott8148)

Solve the system using the substitution method. Show all your steps. 1. x+2y=6... (answered by checkley79)