Question

Solve the system of equations and choose the correct ordered pair.

Answer 1

What I would do:

5x + 10y = 35

Divide everything by 5.

x + 2y = 7

x = 7 - 2y

Now plug "x" into either one of the equations.

2(7-2y) + 5y = 15

14 - 4y + 5y = 15

14 + y = 15

y = 1

Now, solve for x by plugging in y into either one of the equations.

2x + 5y = 15

2x + 5 =15

2x = 10

x = 5

So x is 5 and y is 1.

Check by plugging in the values into the other equation.

5x + 10y = 35

5(5) + 10(1) = 35

25 + 10 = 35

35 = 35

The values are correct so, the answer for this problem is B (5, 1).