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 947934: 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 etutorworld(19) (Show Source): You can put this solution on YOUR website!
Solve the system using elimination.

4x - 5y = 11
6x + 7y = 31
We eliminate one of the variables and solve for the other variable
In this we can first eliminate "y". This can be done by multiplying the first equation by 7 and the second one by 5, we get
28x - 35y = 77
30x + 35y = 155
Adding the above two equations we get
58x = 232
Dividing by 58 on both sides we get
x = 4
To find the value of y we plug x=4 in any of the given equations
4(4) - 5y = 11
16 - 5y = 11
-5y = -5
y = 1
Therefore (x,y) = (4,1) [Option (d)]

RELATED QUESTIONS
Solve the system using elimination. 4x - 5y = 11 6x + 7y = 31 A. (-2, 2) B.... (answered by EdenWolf)

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)