Question

What is the solution of the system?
5x + 7y = 32
8x + 6y = 46

A-(8,5)
B-(1,5)
C-(7.0)
D-(5, 1)

Answer 1

To solve the system of equations, we can use the method of substitution or elimination. Let's use the method of substitution.

From the first equation, we can isolate x:
5x + 7y = 32
5x = 32 - 7y
x = (32 - 7y)/5

Now, we substitute this expression for x into the second equation:
8x + 6y = 46
8((32 - 7y)/5) + 6y = 46
(256 - 56y)/5 + 6y = 46
256 - 56y + 30y = 230
-26y = -26
y = 1

Now that we have the value of y, we can substitute it back into the expression we found for x:
x = (32 - 7y)/5
x = (32 - 7(1))/5
x = 32 - 7/5
x = 32 - 7/5
x = 32 - 1.4
x = 30.6

So, the solution of the system is (30.6, 1).

Therefore, the correct answer is C-(30.6, 1).